What is the Least Common Multiple of 93075 and 93084?

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 93084 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 93084, than apply into the LCM equation.

GCF(93075,93084) = 3
LCM(93075,93084) = ( 93075 × 93084) / 3
LCM(93075,93084) = 8663793300 / 3
LCM(93075,93084) = 2887931100

Least Common Multiple (LCM) of 93075 and 93084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93075 and 93084. First we will calculate the prime factors of 93075 and 93084.

Prime Factorization of 93075

Prime Factorization of 93084

Now multiplying the highest exponent prime factors to calculate the LCM of 93075 and 93084.

LCM(93075,93084) = 3¹ × 5² × 17¹ × 73¹ × 2² × 7757¹
LCM(93075,93084) = 2887931100