What is the Least Common Multiple of 56509 and 56528?

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 56509 and 56528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56509 and 56528, than apply into the LCM equation.

GCF(56509,56528) = 1
LCM(56509,56528) = ( 56509 × 56528) / 1
LCM(56509,56528) = 3194340752 / 1
LCM(56509,56528) = 3194340752

Least Common Multiple (LCM) of 56509 and 56528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56509 and 56528. First we will calculate the prime factors of 56509 and 56528.

Prime Factorization of 56509

Prime Factorization of 56528

Now multiplying the highest exponent prime factors to calculate the LCM of 56509 and 56528.

LCM(56509,56528) = 56509¹ × 2⁴ × 3533¹
LCM(56509,56528) = 3194340752