GCF and LCM Calculator Logo

What is the Least Common Multiple of 26157 and 26175?

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 26157 and 26175 is 228219825.

LCM(26157,26175) = 228219825

LCM Calculator and
and

Least Common Multiple of 26157 and 26175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26157 and 26175, than apply into the LCM equation.

GCF(26157,26175) = 3
LCM(26157,26175) = ( 26157 × 26175) / 3
LCM(26157,26175) = 684659475 / 3
LCM(26157,26175) = 228219825

Least Common Multiple (LCM) of 26157 and 26175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26157 and 26175. First we will calculate the prime factors of 26157 and 26175.

Prime Factorization of 26157

Prime factors of 26157 are 3, 8719. Prime factorization of 26157 in exponential form is:

26157 = 31 × 87191

Prime Factorization of 26175

Prime factors of 26175 are 3, 5, 349. Prime factorization of 26175 in exponential form is:

26175 = 31 × 52 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 26157 and 26175.

LCM(26157,26175) = 31 × 87191 × 52 × 3491
LCM(26157,26175) = 228219825