What is the Least Common Multiple of 93900 and 93915?

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 93900 and 93915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93900 and 93915, than apply into the LCM equation.

GCF(93900,93915) = 15
LCM(93900,93915) = ( 93900 × 93915) / 15
LCM(93900,93915) = 8818618500 / 15
LCM(93900,93915) = 587907900

Least Common Multiple (LCM) of 93900 and 93915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93900 and 93915. First we will calculate the prime factors of 93900 and 93915.

Prime Factorization of 93900

Prime Factorization of 93915

Now multiplying the highest exponent prime factors to calculate the LCM of 93900 and 93915.

LCM(93900,93915) = 2² × 3² × 5² × 313¹ × 2087¹
LCM(93900,93915) = 587907900