What is the Least Common Multiple of 39375 and 39382?

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 39382 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 39382, than apply into the LCM equation.

GCF(39375,39382) = 7
LCM(39375,39382) = ( 39375 × 39382) / 7
LCM(39375,39382) = 1550666250 / 7
LCM(39375,39382) = 221523750

Least Common Multiple (LCM) of 39375 and 39382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39375 and 39382. First we will calculate the prime factors of 39375 and 39382.

Prime Factorization of 39375

Prime Factorization of 39382

Now multiplying the highest exponent prime factors to calculate the LCM of 39375 and 39382.

LCM(39375,39382) = 3² × 5⁴ × 7¹ × 2¹ × 29¹ × 97¹
LCM(39375,39382) = 221523750