What is the Least Common Multiple of 59508 and 59512?

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 59508 and 59512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59508 and 59512, than apply into the LCM equation.

GCF(59508,59512) = 4
LCM(59508,59512) = ( 59508 × 59512) / 4
LCM(59508,59512) = 3541440096 / 4
LCM(59508,59512) = 885360024

Least Common Multiple (LCM) of 59508 and 59512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59508 and 59512. First we will calculate the prime factors of 59508 and 59512.

Prime Factorization of 59508

Prime Factorization of 59512

Now multiplying the highest exponent prime factors to calculate the LCM of 59508 and 59512.

LCM(59508,59512) = 2³ × 3³ × 19¹ × 29¹ × 43¹ × 173¹
LCM(59508,59512) = 885360024