What is the Least Common Multiple of 3042 and 3054?

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 3042 and 3054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3042 and 3054, than apply into the LCM equation.

GCF(3042,3054) = 6
LCM(3042,3054) = ( 3042 × 3054) / 6
LCM(3042,3054) = 9290268 / 6
LCM(3042,3054) = 1548378

Least Common Multiple (LCM) of 3042 and 3054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3042 and 3054. First we will calculate the prime factors of 3042 and 3054.

Prime Factorization of 3042

Prime Factorization of 3054

Now multiplying the highest exponent prime factors to calculate the LCM of 3042 and 3054.

LCM(3042,3054) = 2¹ × 3² × 13² × 509¹
LCM(3042,3054) = 1548378