What is the Least Common Multiple of 56524 and 56537?

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 56524 and 56537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56524 and 56537, than apply into the LCM equation.

GCF(56524,56537) = 13
LCM(56524,56537) = ( 56524 × 56537) / 13
LCM(56524,56537) = 3195697388 / 13
LCM(56524,56537) = 245822876

Least Common Multiple (LCM) of 56524 and 56537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56524 and 56537. First we will calculate the prime factors of 56524 and 56537.

Prime Factorization of 56524

Prime Factorization of 56537

Now multiplying the highest exponent prime factors to calculate the LCM of 56524 and 56537.

LCM(56524,56537) = 2² × 13¹ × 1087¹ × 4349¹
LCM(56524,56537) = 245822876