What is the Least Common Multiple of 2964 and 2978?

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 2978 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 2978, than apply into the LCM equation.

GCF(2964,2978) = 2
LCM(2964,2978) = ( 2964 × 2978) / 2
LCM(2964,2978) = 8826792 / 2
LCM(2964,2978) = 4413396

Least Common Multiple (LCM) of 2964 and 2978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2964 and 2978. First we will calculate the prime factors of 2964 and 2978.

Prime Factorization of 2964

Prime Factorization of 2978

Now multiplying the highest exponent prime factors to calculate the LCM of 2964 and 2978.

LCM(2964,2978) = 2² × 3¹ × 13¹ × 19¹ × 1489¹
LCM(2964,2978) = 4413396