What is the Least Common Multiple of 3027 and 3042?

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 3027 and 3042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3027 and 3042, than apply into the LCM equation.

GCF(3027,3042) = 3
LCM(3027,3042) = ( 3027 × 3042) / 3
LCM(3027,3042) = 9208134 / 3
LCM(3027,3042) = 3069378

Least Common Multiple (LCM) of 3027 and 3042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3027 and 3042. First we will calculate the prime factors of 3027 and 3042.

Prime Factorization of 3027

Prime Factorization of 3042

Now multiplying the highest exponent prime factors to calculate the LCM of 3027 and 3042.

LCM(3027,3042) = 3² × 1009¹ × 2¹ × 13²
LCM(3027,3042) = 3069378