What is the Least Common Multiple of 66075 and 66084?

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 66075 and 66084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66075 and 66084, than apply into the LCM equation.

GCF(66075,66084) = 3
LCM(66075,66084) = ( 66075 × 66084) / 3
LCM(66075,66084) = 4366500300 / 3
LCM(66075,66084) = 1455500100

Least Common Multiple (LCM) of 66075 and 66084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66075 and 66084. First we will calculate the prime factors of 66075 and 66084.

Prime Factorization of 66075

Prime Factorization of 66084

Now multiplying the highest exponent prime factors to calculate the LCM of 66075 and 66084.

LCM(66075,66084) = 3¹ × 5² × 881¹ × 2² × 5507¹
LCM(66075,66084) = 1455500100