What is the Least Common Multiple of 75375 and 75390?

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 75375 and 75390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75375 and 75390, than apply into the LCM equation.

GCF(75375,75390) = 15
LCM(75375,75390) = ( 75375 × 75390) / 15
LCM(75375,75390) = 5682521250 / 15
LCM(75375,75390) = 378834750

Least Common Multiple (LCM) of 75375 and 75390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75375 and 75390. First we will calculate the prime factors of 75375 and 75390.

Prime Factorization of 75375

Prime Factorization of 75390

Now multiplying the highest exponent prime factors to calculate the LCM of 75375 and 75390.

LCM(75375,75390) = 3² × 5³ × 67¹ × 2¹ × 7¹ × 359¹
LCM(75375,75390) = 378834750