LCM of 12 and 8 is equal to 24. The comprehensive work provides more insight of how to find what is the lcm of 12 and 8 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 12 and 8?
lcm (12 8) = (?)
12 => 2 x 2 x 3
8 => 2 x 2 x 2
= 2 x 2 x 3 x 2
= 24
lcm (12 and 8) = 24
24 is the lcm of 12 and 8.
where,
12 is a positive integer,
8 is a positive integer,
24 is the lcm of 12 and 8,
{2 x 2} in {2 x 2 x 3, 2 x 2 x 2} are the common factors of 12 and 8,
{3 x 2} in {2 x 2 x 3, 2 x 2 x 2} are the uncommon factors of 12 and 8.
Use in Mathematics: LCM of 12 and 8
The below are some of the mathematical applications where lcm of 12 and 8 can be used:
The below solved example with step by step work shows how to find what is the lcm of 12 and 8 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 12 and 8?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 12
B = 8
What to be found:
find the lcm of 12 and 8
step 2 Find the prime factors of 12 and 8:
Prime factors of 12 = 2 x 2 x 3
Prime factors of 8 = 2 x 2 x 2
step 3 Identify the repeated and non-repeated prime factors of 12 and 8:
{2, 2} are the most repeated factors and {3 x 2} are the non-repeated factors of 12 and 8.
step 4 Find the product of repeated and non-repeated prime factors of 12 and 8:
= 2 x 2 x 3 x 2
= 24
lcm(12 and 8) = 24
Hence,
lcm of 12 and 8 is 24
2 | 12 | 8 |
2 | 6 | 4 |
2 | 3 | 2 |
3 | 3 | 1 |
1 | 1 |