What is the Least Common Multiple of 4375 and 4380?

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 4375 and 4380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4375 and 4380, than apply into the LCM equation.

GCF(4375,4380) = 5
LCM(4375,4380) = ( 4375 × 4380) / 5
LCM(4375,4380) = 19162500 / 5
LCM(4375,4380) = 3832500

Least Common Multiple (LCM) of 4375 and 4380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4375 and 4380. First we will calculate the prime factors of 4375 and 4380.

Prime Factorization of 4375

Prime Factorization of 4380

Now multiplying the highest exponent prime factors to calculate the LCM of 4375 and 4380.

LCM(4375,4380) = 5⁴ × 7¹ × 2² × 3¹ × 73¹
LCM(4375,4380) = 3832500