What is the Least Common Multiple of 2964 and 2983?

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 2964 and 2983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2964 and 2983, than apply into the LCM equation.

GCF(2964,2983) = 19
LCM(2964,2983) = ( 2964 × 2983) / 19
LCM(2964,2983) = 8841612 / 19
LCM(2964,2983) = 465348

Least Common Multiple (LCM) of 2964 and 2983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2964 and 2983. First we will calculate the prime factors of 2964 and 2983.

Prime Factorization of 2964

Prime Factorization of 2983

Now multiplying the highest exponent prime factors to calculate the LCM of 2964 and 2983.

LCM(2964,2983) = 2² × 3¹ × 13¹ × 19¹ × 157¹
LCM(2964,2983) = 465348