What is the Least Common Multiple of 3054 and 3067?

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 3054 and 3067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3054 and 3067, than apply into the LCM equation.

GCF(3054,3067) = 1
LCM(3054,3067) = ( 3054 × 3067) / 1
LCM(3054,3067) = 9366618 / 1
LCM(3054,3067) = 9366618

Least Common Multiple (LCM) of 3054 and 3067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3054 and 3067. First we will calculate the prime factors of 3054 and 3067.

Prime Factorization of 3054

Prime Factorization of 3067

Now multiplying the highest exponent prime factors to calculate the LCM of 3054 and 3067.

LCM(3054,3067) = 2¹ × 3¹ × 509¹ × 3067¹
LCM(3054,3067) = 9366618