What is the Least Common Multiple of 81375 and 81390?

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 81375 and 81390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81375 and 81390, than apply into the LCM equation.

GCF(81375,81390) = 15
LCM(81375,81390) = ( 81375 × 81390) / 15
LCM(81375,81390) = 6623111250 / 15
LCM(81375,81390) = 441540750

Least Common Multiple (LCM) of 81375 and 81390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81375 and 81390. First we will calculate the prime factors of 81375 and 81390.

Prime Factorization of 81375

Prime Factorization of 81390

Now multiplying the highest exponent prime factors to calculate the LCM of 81375 and 81390.

LCM(81375,81390) = 3¹ × 5³ × 7¹ × 31¹ × 2¹ × 2713¹
LCM(81375,81390) = 441540750