What is the Least Common Multiple of 57516 and 57533?

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 57516 and 57533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57516 and 57533, than apply into the LCM equation.

GCF(57516,57533) = 1
LCM(57516,57533) = ( 57516 × 57533) / 1
LCM(57516,57533) = 3309068028 / 1
LCM(57516,57533) = 3309068028

Least Common Multiple (LCM) of 57516 and 57533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57516 and 57533. First we will calculate the prime factors of 57516 and 57533.

Prime Factorization of 57516

Prime Factorization of 57533

Now multiplying the highest exponent prime factors to calculate the LCM of 57516 and 57533.

LCM(57516,57533) = 2² × 3¹ × 4793¹ × 7¹ × 8219¹
LCM(57516,57533) = 3309068028