What is the Least Common Multiple of 57509 and 57528?

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 57509 and 57528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57509 and 57528, than apply into the LCM equation.

GCF(57509,57528) = 1
LCM(57509,57528) = ( 57509 × 57528) / 1
LCM(57509,57528) = 3308377752 / 1
LCM(57509,57528) = 3308377752

Least Common Multiple (LCM) of 57509 and 57528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57509 and 57528. First we will calculate the prime factors of 57509 and 57528.

Prime Factorization of 57509

Prime Factorization of 57528

Now multiplying the highest exponent prime factors to calculate the LCM of 57509 and 57528.

LCM(57509,57528) = 131¹ × 439¹ × 2³ × 3² × 17¹ × 47¹
LCM(57509,57528) = 3308377752