What is the Least Common Multiple of 2956 and 2960?

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 2956 and 2960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2956 and 2960, than apply into the LCM equation.

GCF(2956,2960) = 4
LCM(2956,2960) = ( 2956 × 2960) / 4
LCM(2956,2960) = 8749760 / 4
LCM(2956,2960) = 2187440

Least Common Multiple (LCM) of 2956 and 2960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2956 and 2960. First we will calculate the prime factors of 2956 and 2960.

Prime Factorization of 2956

Prime Factorization of 2960

Now multiplying the highest exponent prime factors to calculate the LCM of 2956 and 2960.

LCM(2956,2960) = 2⁴ × 739¹ × 5¹ × 37¹
LCM(2956,2960) = 2187440