What is the Least Common Multiple of 2958 and 2973?

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 2958 and 2973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2958 and 2973, than apply into the LCM equation.

GCF(2958,2973) = 3
LCM(2958,2973) = ( 2958 × 2973) / 3
LCM(2958,2973) = 8794134 / 3
LCM(2958,2973) = 2931378

Least Common Multiple (LCM) of 2958 and 2973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2958 and 2973. First we will calculate the prime factors of 2958 and 2973.

Prime Factorization of 2958

Prime Factorization of 2973

Now multiplying the highest exponent prime factors to calculate the LCM of 2958 and 2973.

LCM(2958,2973) = 2¹ × 3¹ × 17¹ × 29¹ × 991¹
LCM(2958,2973) = 2931378