What is the Least Common Multiple of 39375 and 39380?

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 39375 and 39380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39375 and 39380, than apply into the LCM equation.

GCF(39375,39380) = 5
LCM(39375,39380) = ( 39375 × 39380) / 5
LCM(39375,39380) = 1550587500 / 5
LCM(39375,39380) = 310117500

Least Common Multiple (LCM) of 39375 and 39380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39375 and 39380. First we will calculate the prime factors of 39375 and 39380.

Prime Factorization of 39375

Prime Factorization of 39380

Now multiplying the highest exponent prime factors to calculate the LCM of 39375 and 39380.

LCM(39375,39380) = 3² × 5⁴ × 7¹ × 2² × 11¹ × 179¹
LCM(39375,39380) = 310117500