What is the Least Common Multiple of 57675 and 57693?

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 57693 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 57693, than apply into the LCM equation.

GCF(57675,57693) = 3
LCM(57675,57693) = ( 57675 × 57693) / 3
LCM(57675,57693) = 3327443775 / 3
LCM(57675,57693) = 1109147925

Least Common Multiple (LCM) of 57675 and 57693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57675 and 57693. First we will calculate the prime factors of 57675 and 57693.

Prime Factorization of 57675

Prime Factorization of 57693

Now multiplying the highest exponent prime factors to calculate the LCM of 57675 and 57693.

LCM(57675,57693) = 3¹ × 5² × 769¹ × 19231¹
LCM(57675,57693) = 1109147925