What is the Least Common Multiple of 3054 and 3061?

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 3061 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 3061, than apply into the LCM equation.

GCF(3054,3061) = 1
LCM(3054,3061) = ( 3054 × 3061) / 1
LCM(3054,3061) = 9348294 / 1
LCM(3054,3061) = 9348294

Least Common Multiple (LCM) of 3054 and 3061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3054 and 3061. First we will calculate the prime factors of 3054 and 3061.

Prime Factorization of 3054

Prime Factorization of 3061

Now multiplying the highest exponent prime factors to calculate the LCM of 3054 and 3061.

LCM(3054,3061) = 2¹ × 3¹ × 509¹ × 3061¹
LCM(3054,3061) = 9348294