What is the Least Common Multiple of 59499 and 59508?

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 59499 and 59508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59499 and 59508, than apply into the LCM equation.

GCF(59499,59508) = 9
LCM(59499,59508) = ( 59499 × 59508) / 9
LCM(59499,59508) = 3540666492 / 9
LCM(59499,59508) = 393407388

Least Common Multiple (LCM) of 59499 and 59508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59499 and 59508. First we will calculate the prime factors of 59499 and 59508.

Prime Factorization of 59499

Prime Factorization of 59508

Now multiplying the highest exponent prime factors to calculate the LCM of 59499 and 59508.

LCM(59499,59508) = 3³ × 11¹ × 601¹ × 2² × 19¹ × 29¹
LCM(59499,59508) = 393407388