What is the Least Common Multiple of 2946 and 2955?

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 2946 and 2955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2946 and 2955, than apply into the LCM equation.

GCF(2946,2955) = 3
LCM(2946,2955) = ( 2946 × 2955) / 3
LCM(2946,2955) = 8705430 / 3
LCM(2946,2955) = 2901810

Least Common Multiple (LCM) of 2946 and 2955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2946 and 2955. First we will calculate the prime factors of 2946 and 2955.

Prime Factorization of 2946

Prime Factorization of 2955

Now multiplying the highest exponent prime factors to calculate the LCM of 2946 and 2955.

LCM(2946,2955) = 2¹ × 3¹ × 491¹ × 5¹ × 197¹
LCM(2946,2955) = 2901810