What is the Least Common Multiple of 57675 and 57687?

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 57675 and 57687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57675 and 57687, than apply into the LCM equation.

GCF(57675,57687) = 3
LCM(57675,57687) = ( 57675 × 57687) / 3
LCM(57675,57687) = 3327097725 / 3
LCM(57675,57687) = 1109032575

Least Common Multiple (LCM) of 57675 and 57687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57675 and 57687. First we will calculate the prime factors of 57675 and 57687.

Prime Factorization of 57675

Prime Factorization of 57687

Now multiplying the highest exponent prime factors to calculate the LCM of 57675 and 57687.

LCM(57675,57687) = 3¹ × 5² × 769¹ × 7¹ × 41¹ × 67¹
LCM(57675,57687) = 1109032575