What is the Least Common Multiple of 26360 and 26375?

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 26360 and 26375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26360 and 26375, than apply into the LCM equation.

GCF(26360,26375) = 5
LCM(26360,26375) = ( 26360 × 26375) / 5
LCM(26360,26375) = 695245000 / 5
LCM(26360,26375) = 139049000

Least Common Multiple (LCM) of 26360 and 26375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26360 and 26375. First we will calculate the prime factors of 26360 and 26375.

Prime Factorization of 26360

Prime Factorization of 26375

Now multiplying the highest exponent prime factors to calculate the LCM of 26360 and 26375.

LCM(26360,26375) = 2³ × 5³ × 659¹ × 211¹
LCM(26360,26375) = 139049000