What is the Least Common Multiple of 27054 and 27066?

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 27054 and 27066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27054 and 27066, than apply into the LCM equation.

GCF(27054,27066) = 6
LCM(27054,27066) = ( 27054 × 27066) / 6
LCM(27054,27066) = 732243564 / 6
LCM(27054,27066) = 122040594

Least Common Multiple (LCM) of 27054 and 27066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27054 and 27066. First we will calculate the prime factors of 27054 and 27066.

Prime Factorization of 27054

Prime Factorization of 27066

Now multiplying the highest exponent prime factors to calculate the LCM of 27054 and 27066.

LCM(27054,27066) = 2¹ × 3⁴ × 167¹ × 13¹ × 347¹
LCM(27054,27066) = 122040594