GCF and LCM Calculator Logo

What is the Least Common Multiple of 26707 and 26725?

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 26707 and 26725 is 713744575.

LCM(26707,26725) = 713744575

LCM Calculator and
and

Least Common Multiple of 26707 and 26725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26707 and 26725, than apply into the LCM equation.

GCF(26707,26725) = 1
LCM(26707,26725) = ( 26707 × 26725) / 1
LCM(26707,26725) = 713744575 / 1
LCM(26707,26725) = 713744575

Least Common Multiple (LCM) of 26707 and 26725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26707 and 26725. First we will calculate the prime factors of 26707 and 26725.

Prime Factorization of 26707

Prime factors of 26707 are 17, 1571. Prime factorization of 26707 in exponential form is:

26707 = 171 × 15711

Prime Factorization of 26725

Prime factors of 26725 are 5, 1069. Prime factorization of 26725 in exponential form is:

26725 = 52 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 26707 and 26725.

LCM(26707,26725) = 171 × 15711 × 52 × 10691
LCM(26707,26725) = 713744575