Calculators & Converters
    LCM - Least Common Multiple
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    LCM :




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    Least Common Multiple (LCM) Calculator

    getcalc.com's Least Common Multiple (LCM) Calculator, formula & solved examples to find the LCM of two or more positive integers or numbers. It's an online basic math function tool to calculate the lowest quantity that is multiple of two or more given quantities. Users can find the solutions for the following queries by using this lcm calculator.

    • Find the lcm for two numbers or integers
    • Find the lcm for three or more numbers or integers
    • Generate step by step work for LCM worksheet problems

    How to Find LCM of Two Numbers?

    The below workout with step by step calculation may help grade school students or beginners to refer how to find lcm of two numbers or integers. Generate the lcm workout for any two numbers by using this least common multiple calculator.

    Example Problem & Solution :
    Example Problem :
    Find the least common multiple of two numbers 10 & 15.

    Solution :
    step 1 Address input parameters & values.
    10 15
    lcm (10, 15) = ?

    step 2 Arrange the group of numbers in the horizontal form with space or comma separated format
    10 and 15

    step 3 Choose the divisor which divides each or most of the integers of in the group (10 and 15), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if the integer is not divisible by the divisor. Repeat the same process until all the integers are brought to 1.
    51015
    223
    313
    11
    step 4 Multiply the divisors to find the lcm of 10 and 15
    5 x 2 x 3 = 30
    lcm (10, 15) = 30

    30 is least common multiple for two numbers 10 and 15

    How to find LCM of Three Numbers?

    The below worrkout with step by step calculation may help users, grade school students or beginners to refer how to find what is the lcm of three numbers or integers. Users may generate the lcm workout for any three numbers by using this least common multiple calculator.

    Example Problem & Solution :
    Example Problem :
    How to find LCM of three numbers 6, 8 & 12?

    Solution :
    step 1 Address input parameters & values.
    6 8 12
    lcm (6, 8, 12) = ?

    step 2 Arrange the group of numbers in the horizontal form with space or comma separated format
    6, 8 and 12

    step 3 Choose the divisor which divides each or most of the integers of in the group (6, 8 and 12), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if the integer is not divisible by the divisor. Repeat the same process until all the integers are brought to 1.
    26812
    3346
    2142
    2121
    111
    step 4 Multiply the divisors to find the lcm of 6, 8 and 12
    2 x 3 x 2 x 2 = 24
    lcm (6, 8, 12) = 24

    24 is least common multiple for three numbers 6, 8 and 12

    Definition

    Least Common Multiple often abbreviated as LCM, also known as lowest or smallest common multiple, is a basic mathematic function, generally a relative measure of smallest positive integer that is divisible by each one of the integers in a group of integers. It's an important math function used to find the common denominators to perform addition, subtraction, comparison and simplification of two or more fractions with different or unequal denominators.

    Users may use this LCM calculator to find the lowest common multiple or generate the step by step calculation for any group of whole numbers. This calculator uses the special division method to find the LCM for two or more numbers.

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