LCM - Least Common Multiple
Data set :

LCM :

Notes
1. Insert this widget code anywhere inside the body tag
2. Use the code as it is for proper working.
share
feedback
calculator
info
history
</>
HISTORY

# Least Common Multiple (LCM) Calculator

getcalc.com's Least Common Multiple (LCM) Calculator, formula and 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 :
Problem :
Find the least common multiple of two numbers 10 and 15.

Solution :
Integers: 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.
 5 10 15 2 2 3 3 1 3 1 1
step 4 Multiply the divisors to find the lcm of 10 and 15
5 x 2 x 3 = 30
LCM(10 15) = 30

The least common multiple for two numbers 10 and 15 is 30

## 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 :
Problem :
How to find LCM of three numbers 6, 8 and 12?

Solution :
Integers: 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.
 2 6 8 12 3 3 4 6 2 1 4 2 2 1 2 1 1 1 1
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

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

### 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.