What is the Least Common Multiple of 54375 and 54380?

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 54375 and 54380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54375 and 54380, than apply into the LCM equation.

GCF(54375,54380) = 5
LCM(54375,54380) = ( 54375 × 54380) / 5
LCM(54375,54380) = 2956912500 / 5
LCM(54375,54380) = 591382500

Least Common Multiple (LCM) of 54375 and 54380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54375 and 54380. First we will calculate the prime factors of 54375 and 54380.

Prime Factorization of 54375

Prime Factorization of 54380

Now multiplying the highest exponent prime factors to calculate the LCM of 54375 and 54380.

LCM(54375,54380) = 3¹ × 5⁴ × 29¹ × 2² × 2719¹
LCM(54375,54380) = 591382500