What is the Least Common Multiple of 57492 and 57502?

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 57492 and 57502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57492 and 57502, than apply into the LCM equation.

GCF(57492,57502) = 2
LCM(57492,57502) = ( 57492 × 57502) / 2
LCM(57492,57502) = 3305904984 / 2
LCM(57492,57502) = 1652952492

Least Common Multiple (LCM) of 57492 and 57502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57492 and 57502. First we will calculate the prime factors of 57492 and 57502.

Prime Factorization of 57492

Prime Factorization of 57502

Now multiplying the highest exponent prime factors to calculate the LCM of 57492 and 57502.

LCM(57492,57502) = 2² × 3² × 1597¹ × 28751¹
LCM(57492,57502) = 1652952492