What is the Least Common Multiple of 2968 and 2972?

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 2968 and 2972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2968 and 2972, than apply into the LCM equation.

GCF(2968,2972) = 4
LCM(2968,2972) = ( 2968 × 2972) / 4
LCM(2968,2972) = 8820896 / 4
LCM(2968,2972) = 2205224

Least Common Multiple (LCM) of 2968 and 2972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2968 and 2972. First we will calculate the prime factors of 2968 and 2972.

Prime Factorization of 2968

Prime Factorization of 2972

Now multiplying the highest exponent prime factors to calculate the LCM of 2968 and 2972.

LCM(2968,2972) = 2³ × 7¹ × 53¹ × 743¹
LCM(2968,2972) = 2205224