What is the Least Common Multiple of 51075 and 51084?

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 51075 and 51084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51075 and 51084, than apply into the LCM equation.

GCF(51075,51084) = 9
LCM(51075,51084) = ( 51075 × 51084) / 9
LCM(51075,51084) = 2609115300 / 9
LCM(51075,51084) = 289901700

Least Common Multiple (LCM) of 51075 and 51084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51075 and 51084. First we will calculate the prime factors of 51075 and 51084.

Prime Factorization of 51075

Prime Factorization of 51084

Now multiplying the highest exponent prime factors to calculate the LCM of 51075 and 51084.

LCM(51075,51084) = 3³ × 5² × 227¹ × 2² × 11¹ × 43¹
LCM(51075,51084) = 289901700