What is the Least Common Multiple of 57564 and 57569?

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 57564 and 57569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57564 and 57569, than apply into the LCM equation.

GCF(57564,57569) = 1
LCM(57564,57569) = ( 57564 × 57569) / 1
LCM(57564,57569) = 3313901916 / 1
LCM(57564,57569) = 3313901916

Least Common Multiple (LCM) of 57564 and 57569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57564 and 57569. First we will calculate the prime factors of 57564 and 57569.

Prime Factorization of 57564

Prime Factorization of 57569

Now multiplying the highest exponent prime factors to calculate the LCM of 57564 and 57569.

LCM(57564,57569) = 2² × 3³ × 13¹ × 41¹ × 23¹ × 2503¹
LCM(57564,57569) = 3313901916