What is the Least Common Multiple of 93075 and 93093?

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 93075 and 93093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93075 and 93093, than apply into the LCM equation.

GCF(93075,93093) = 3
LCM(93075,93093) = ( 93075 × 93093) / 3
LCM(93075,93093) = 8664630975 / 3
LCM(93075,93093) = 2888210325

Least Common Multiple (LCM) of 93075 and 93093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93075 and 93093. First we will calculate the prime factors of 93075 and 93093.

Prime Factorization of 93075

Prime Factorization of 93093

Now multiplying the highest exponent prime factors to calculate the LCM of 93075 and 93093.

LCM(93075,93093) = 3¹ × 5² × 17¹ × 73¹ × 7¹ × 11¹ × 13¹ × 31¹
LCM(93075,93093) = 2888210325