What is the Least Common Multiple of 56944 and 56964?

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 56944 and 56964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56944 and 56964, than apply into the LCM equation.

GCF(56944,56964) = 4
LCM(56944,56964) = ( 56944 × 56964) / 4
LCM(56944,56964) = 3243758016 / 4
LCM(56944,56964) = 810939504

Least Common Multiple (LCM) of 56944 and 56964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56944 and 56964. First we will calculate the prime factors of 56944 and 56964.

Prime Factorization of 56944

Prime Factorization of 56964

Now multiplying the highest exponent prime factors to calculate the LCM of 56944 and 56964.

LCM(56944,56964) = 2⁴ × 3559¹ × 3¹ × 47¹ × 101¹
LCM(56944,56964) = 810939504