What is the Least Common Multiple of 56596 and 56612?

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 56596 and 56612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56596 and 56612, than apply into the LCM equation.

GCF(56596,56612) = 4
LCM(56596,56612) = ( 56596 × 56612) / 4
LCM(56596,56612) = 3204012752 / 4
LCM(56596,56612) = 801003188

Least Common Multiple (LCM) of 56596 and 56612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56596 and 56612. First we will calculate the prime factors of 56596 and 56612.

Prime Factorization of 56596

Prime Factorization of 56612

Now multiplying the highest exponent prime factors to calculate the LCM of 56596 and 56612.

LCM(56596,56612) = 2² × 14149¹ × 14153¹
LCM(56596,56612) = 801003188