What is the Least Common Multiple of 59524 and 59537?

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 59524 and 59537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59524 and 59537, than apply into the LCM equation.

GCF(59524,59537) = 1
LCM(59524,59537) = ( 59524 × 59537) / 1
LCM(59524,59537) = 3543880388 / 1
LCM(59524,59537) = 3543880388

Least Common Multiple (LCM) of 59524 and 59537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59524 and 59537. First we will calculate the prime factors of 59524 and 59537.

Prime Factorization of 59524

Prime Factorization of 59537

Now multiplying the highest exponent prime factors to calculate the LCM of 59524 and 59537.

LCM(59524,59537) = 2² × 23¹ × 647¹ × 29¹ × 2053¹
LCM(59524,59537) = 3543880388