What is the Least Common Multiple of 12375 and 12380?

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 12375 and 12380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12375 and 12380, than apply into the LCM equation.

GCF(12375,12380) = 5
LCM(12375,12380) = ( 12375 × 12380) / 5
LCM(12375,12380) = 153202500 / 5
LCM(12375,12380) = 30640500

Least Common Multiple (LCM) of 12375 and 12380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12375 and 12380. First we will calculate the prime factors of 12375 and 12380.

Prime Factorization of 12375

Prime Factorization of 12380

Now multiplying the highest exponent prime factors to calculate the LCM of 12375 and 12380.

LCM(12375,12380) = 3² × 5³ × 11¹ × 2² × 619¹
LCM(12375,12380) = 30640500