What is the Least Common Multiple of 27075 and 27084?

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 27075 and 27084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27075 and 27084, than apply into the LCM equation.

GCF(27075,27084) = 3
LCM(27075,27084) = ( 27075 × 27084) / 3
LCM(27075,27084) = 733299300 / 3
LCM(27075,27084) = 244433100

Least Common Multiple (LCM) of 27075 and 27084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27075 and 27084. First we will calculate the prime factors of 27075 and 27084.

Prime Factorization of 27075

Prime Factorization of 27084

Now multiplying the highest exponent prime factors to calculate the LCM of 27075 and 27084.

LCM(27075,27084) = 3¹ × 5² × 19² × 2² × 37¹ × 61¹
LCM(27075,27084) = 244433100