What is the Least Common Multiple of 27075 and 27082?

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 27082 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 27082, than apply into the LCM equation.

GCF(27075,27082) = 1
LCM(27075,27082) = ( 27075 × 27082) / 1
LCM(27075,27082) = 733245150 / 1
LCM(27075,27082) = 733245150

Least Common Multiple (LCM) of 27075 and 27082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27075 and 27082. First we will calculate the prime factors of 27075 and 27082.

Prime Factorization of 27075

Prime Factorization of 27082

Now multiplying the highest exponent prime factors to calculate the LCM of 27075 and 27082.

LCM(27075,27082) = 3¹ × 5² × 19² × 2¹ × 11¹ × 1231¹
LCM(27075,27082) = 733245150