LCM of 26 and 39 is equal to 78. The comprehensive work provides more insight of how to find what is the lcm of 26 and 39 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 26 and 39?
lcm (26 39) = (?)
26 => 2 x 13
39 => 3 x 13
= 13 x 2 x 3
= 78
lcm (26 and 39) = 78
78 is the lcm of 26 and 39.
where,
26 is a positive integer,
39 is a positive integer,
78 is the lcm of 26 and 39,
{13} in {2 x 13, 3 x 13} is the common factors of 26 and 39,
{2 x 3} in {2 x 13, 3 x 13} are the uncommon factors of 26 and 39.
Use in Mathematics: LCM of 26 and 39
The below are some of the mathematical applications where lcm of 26 and 39 can be used:
The below solved example with step by step work shows how to find what is the lcm of 26 and 39 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 26 and 39?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 26
B = 39
What to be found:
find the lcm of 26 and 39
step 2 Find the prime factors of 26 and 39:
Prime factors of 26 = 2 x 13
Prime factors of 39 = 3 x 13
step 3 Identify the repeated and non-repeated prime factors of 26 and 39:
{13} is the most repeated factor and {2 x 3} are the non-repeated factors of 26 and 39.
step 4 Find the product of repeated and non-repeated prime factors of 26 and 39:
= 13 x 2 x 3
= 78
lcm(26 and 39) = 78
Hence,
lcm of 26 and 39 is 78
2 | 26 | 39 |
3 | 13 | 39 |
13 | 13 | 13 |
1 | 1 |