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