What is the Least Common Multiple of 56796 and 56812?

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 56796 and 56812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56796 and 56812, than apply into the LCM equation.

GCF(56796,56812) = 4
LCM(56796,56812) = ( 56796 × 56812) / 4
LCM(56796,56812) = 3226694352 / 4
LCM(56796,56812) = 806673588

Least Common Multiple (LCM) of 56796 and 56812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56796 and 56812. First we will calculate the prime factors of 56796 and 56812.

Prime Factorization of 56796

Prime Factorization of 56812

Now multiplying the highest exponent prime factors to calculate the LCM of 56796 and 56812.

LCM(56796,56812) = 2² × 3¹ × 4733¹ × 7¹ × 2029¹
LCM(56796,56812) = 806673588