LCM of 66 and 88 is equal to 264. The comprehensive work provides more insight of how to find what is the lcm of 66 and 88 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 66 and 88?
lcm (66 88) = (?)
66 => 2 x 3 x 11
88 => 2 x 2 x 2 x 11
= 2 x 11 x 3 x 2 x 2
= 264
lcm (66 and 88) = 264
264 is the lcm of 66 and 88.
where,
66 is a positive integer,
88 is a positive integer,
264 is the lcm of 66 and 88,
{2 x 11} in {2 x 3 x 11, 2 x 2 x 2 x 11} are the common factors of 66 and 88,
{3 x 2 x 2} in {2 x 3 x 11, 2 x 2 x 2 x 11} are the uncommon factors of 66 and 88.
Use in Mathematics: LCM of 66 and 88
The below are some of the mathematical applications where lcm of 66 and 88 can be used:
The below solved example with step by step work shows how to find what is the lcm of 66 and 88 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 66 and 88?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 66
B = 88
What to be found:
find the lcm of 66 and 88
step 2 Find the prime factors of 66 and 88:
Prime factors of 66 = 2 x 3 x 11
Prime factors of 88 = 2 x 2 x 2 x 11
step 3 Identify the repeated and non-repeated prime factors of 66 and 88:
{2, 11} are the most repeated factors and {3 x 2 x 2} are the non-repeated factors of 66 and 88.
step 4 Find the product of repeated and non-repeated prime factors of 66 and 88:
= 2 x 11 x 3 x 2 x 2
= 264
lcm(66 and 88) = 264
Hence,
lcm of 66 and 88 is 264
2 | 66 | 88 |
2 | 33 | 44 |
2 | 33 | 22 |
3 | 33 | 11 |
11 | 11 | 11 |
1 | 1 |