What is the Least Common Multiple of 93915 and 93930?

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 93915 and 93930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93915 and 93930, than apply into the LCM equation.

GCF(93915,93930) = 15
LCM(93915,93930) = ( 93915 × 93930) / 15
LCM(93915,93930) = 8821435950 / 15
LCM(93915,93930) = 588095730

Least Common Multiple (LCM) of 93915 and 93930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93915 and 93930. First we will calculate the prime factors of 93915 and 93930.

Prime Factorization of 93915

Prime Factorization of 93930

Now multiplying the highest exponent prime factors to calculate the LCM of 93915 and 93930.

LCM(93915,93930) = 3² × 5¹ × 2087¹ × 2¹ × 31¹ × 101¹
LCM(93915,93930) = 588095730