LCM of 106 and 182 is equal to 9646. The comprehensive work provides more insight of how to find what is the lcm of 106 and 182 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 106 and 182?
lcm (106 182) = (?)
106 => 2 x 53
182 => 2 x 7 x 13
= 2 x 53 x 7 x 13
= 9646
lcm (106 and 182) = 9646
9646 is the lcm of 106 and 182.
where,
106 is a positive integer,
182 is a positive integer,
9646 is the lcm of 106 and 182,
{2} in {2 x 53, 2 x 7 x 13} is the common factors of 106 and 182,
{53 x 7 x 13} in {2 x 53, 2 x 7 x 13} are the uncommon factors of 106 and 182.
Use in Mathematics: LCM of 106 and 182
The below are some of the mathematical applications where lcm of 106 and 182 can be used:
The below solved example with step by step work shows how to find what is the lcm of 106 and 182 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 106 and 182?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 106
B = 182
What to be found:
find the lcm of 106 and 182
step 2 Find the prime factors of 106 and 182:
Prime factors of 106 = 2 x 53
Prime factors of 182 = 2 x 7 x 13
step 3 Identify the repeated and non-repeated prime factors of 106 and 182:
{2} is the most repeated factor and {53 x 7 x 13} are the non-repeated factors of 106 and 182.
step 4 Find the product of repeated and non-repeated prime factors of 106 and 182:
= 2 x 53 x 7 x 13
= 9646
lcm(106 and 182) = 9646
Hence,
lcm of 106 and 182 is 9646
2 | 106 | 182 |
7 | 53 | 91 |
13 | 53 | 13 |
53 | 53 | 1 |
1 | 1 |