What is the Least Common Multiple of 59577 and 59584?

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 59577 and 59584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59577 and 59584, than apply into the LCM equation.

GCF(59577,59584) = 7
LCM(59577,59584) = ( 59577 × 59584) / 7
LCM(59577,59584) = 3549835968 / 7
LCM(59577,59584) = 507119424

Least Common Multiple (LCM) of 59577 and 59584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59577 and 59584. First we will calculate the prime factors of 59577 and 59584.

Prime Factorization of 59577

Prime Factorization of 59584

Now multiplying the highest exponent prime factors to calculate the LCM of 59577 and 59584.

LCM(59577,59584) = 3¹ × 7² × 2837¹ × 2⁶ × 19¹
LCM(59577,59584) = 507119424