What is the Least Common Multiple of 59532 and 59536?

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 59532 and 59536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59532 and 59536, than apply into the LCM equation.

GCF(59532,59536) = 4
LCM(59532,59536) = ( 59532 × 59536) / 4
LCM(59532,59536) = 3544297152 / 4
LCM(59532,59536) = 886074288

Least Common Multiple (LCM) of 59532 and 59536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59532 and 59536. First we will calculate the prime factors of 59532 and 59536.

Prime Factorization of 59532

Prime Factorization of 59536

Now multiplying the highest exponent prime factors to calculate the LCM of 59532 and 59536.

LCM(59532,59536) = 2⁴ × 3¹ × 11² × 41¹ × 61²
LCM(59532,59536) = 886074288