What is the Least Common Multiple of 93615 and 93630?

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 93615 and 93630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93615 and 93630, than apply into the LCM equation.

GCF(93615,93630) = 15
LCM(93615,93630) = ( 93615 × 93630) / 15
LCM(93615,93630) = 8765172450 / 15
LCM(93615,93630) = 584344830

Least Common Multiple (LCM) of 93615 and 93630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93615 and 93630. First we will calculate the prime factors of 93615 and 93630.

Prime Factorization of 93615

Prime Factorization of 93630

Now multiplying the highest exponent prime factors to calculate the LCM of 93615 and 93630.

LCM(93615,93630) = 3¹ × 5¹ × 79² × 2¹ × 3121¹
LCM(93615,93630) = 584344830