GCF and LCM Calculator Logo

What is the Least Common Multiple of 56796 and 56804?

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 (LCM) of 56796 and 56804 is 806559996.

LCM(56796,56804) = 806559996

LCM Calculator and
and

Least Common Multiple of 56796 and 56804 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 56804, than apply into the LCM equation.

GCF(56796,56804) = 4
LCM(56796,56804) = ( 56796 × 56804) / 4
LCM(56796,56804) = 3226239984 / 4
LCM(56796,56804) = 806559996

Least Common Multiple (LCM) of 56796 and 56804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56796 and 56804. First we will calculate the prime factors of 56796 and 56804.

Prime Factorization of 56796

Prime factors of 56796 are 2, 3, 4733. Prime factorization of 56796 in exponential form is:

56796 = 22 × 31 × 47331

Prime Factorization of 56804

Prime factors of 56804 are 2, 11, 1291. Prime factorization of 56804 in exponential form is:

56804 = 22 × 111 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 56796 and 56804.

LCM(56796,56804) = 22 × 31 × 47331 × 111 × 12911
LCM(56796,56804) = 806559996