What is the Least Common Multiple of 53574 and 53589?

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 53574 and 53589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53574 and 53589, than apply into the LCM equation.

GCF(53574,53589) = 3
LCM(53574,53589) = ( 53574 × 53589) / 3
LCM(53574,53589) = 2870977086 / 3
LCM(53574,53589) = 956992362

Least Common Multiple (LCM) of 53574 and 53589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53574 and 53589. First we will calculate the prime factors of 53574 and 53589.

Prime Factorization of 53574

Prime Factorization of 53589

Now multiplying the highest exponent prime factors to calculate the LCM of 53574 and 53589.

LCM(53574,53589) = 2¹ × 3¹ × 8929¹ × 17863¹
LCM(53574,53589) = 956992362