What is the Least Common Multiple of 2946 and 2954?

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 2954 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 2954, than apply into the LCM equation.

GCF(2946,2954) = 2
LCM(2946,2954) = ( 2946 × 2954) / 2
LCM(2946,2954) = 8702484 / 2
LCM(2946,2954) = 4351242

Least Common Multiple (LCM) of 2946 and 2954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2946 and 2954. First we will calculate the prime factors of 2946 and 2954.

Prime Factorization of 2946

Prime Factorization of 2954

Now multiplying the highest exponent prime factors to calculate the LCM of 2946 and 2954.

LCM(2946,2954) = 2¹ × 3¹ × 491¹ × 7¹ × 211¹
LCM(2946,2954) = 4351242