What is the Least Common Multiple of 56506 and 56524?

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 56506 and 56524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56506 and 56524, than apply into the LCM equation.

GCF(56506,56524) = 2
LCM(56506,56524) = ( 56506 × 56524) / 2
LCM(56506,56524) = 3193945144 / 2
LCM(56506,56524) = 1596972572

Least Common Multiple (LCM) of 56506 and 56524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56506 and 56524. First we will calculate the prime factors of 56506 and 56524.

Prime Factorization of 56506

Prime Factorization of 56524

Now multiplying the highest exponent prime factors to calculate the LCM of 56506 and 56524.

LCM(56506,56524) = 2² × 19¹ × 1487¹ × 13¹ × 1087¹
LCM(56506,56524) = 1596972572