GCF and LCM Calculator Logo

What is the Least Common Multiple of 26690 and 26708?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 26690 and 26708 is 356418260.

LCM(26690,26708) = 356418260

LCM Calculator and
and

Least Common Multiple of 26690 and 26708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26690 and 26708, than apply into the LCM equation.

GCF(26690,26708) = 2
LCM(26690,26708) = ( 26690 × 26708) / 2
LCM(26690,26708) = 712836520 / 2
LCM(26690,26708) = 356418260

Least Common Multiple (LCM) of 26690 and 26708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26690 and 26708. First we will calculate the prime factors of 26690 and 26708.

Prime Factorization of 26690

Prime factors of 26690 are 2, 5, 17, 157. Prime factorization of 26690 in exponential form is:

26690 = 21 × 51 × 171 × 1571

Prime Factorization of 26708

Prime factors of 26708 are 2, 11, 607. Prime factorization of 26708 in exponential form is:

26708 = 22 × 111 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 26690 and 26708.

LCM(26690,26708) = 22 × 51 × 171 × 1571 × 111 × 6071
LCM(26690,26708) = 356418260