What is the Least Common Multiple of 26375 and 26380?

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 of 26375 and 26380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26375 and 26380, than apply into the LCM equation.

GCF(26375,26380) = 5
LCM(26375,26380) = ( 26375 × 26380) / 5
LCM(26375,26380) = 695772500 / 5
LCM(26375,26380) = 139154500

Least Common Multiple (LCM) of 26375 and 26380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26375 and 26380. First we will calculate the prime factors of 26375 and 26380.

Prime Factorization of 26375

Prime Factorization of 26380

Now multiplying the highest exponent prime factors to calculate the LCM of 26375 and 26380.

LCM(26375,26380) = 5³ × 211¹ × 2² × 1319¹
LCM(26375,26380) = 139154500