What is the Least Common Multiple of 72900 and 72915?

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 72900 and 72915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72900 and 72915, than apply into the LCM equation.

GCF(72900,72915) = 15
LCM(72900,72915) = ( 72900 × 72915) / 15
LCM(72900,72915) = 5315503500 / 15
LCM(72900,72915) = 354366900

Least Common Multiple (LCM) of 72900 and 72915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72900 and 72915. First we will calculate the prime factors of 72900 and 72915.

Prime Factorization of 72900

Prime Factorization of 72915

Now multiplying the highest exponent prime factors to calculate the LCM of 72900 and 72915.

LCM(72900,72915) = 2² × 3⁶ × 5² × 4861¹
LCM(72900,72915) = 354366900