What is the Least Common Multiple of 56792 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 of 56792 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 56792 and 56804, than apply into the LCM equation.

GCF(56792,56804) = 4
LCM(56792,56804) = ( 56792 × 56804) / 4
LCM(56792,56804) = 3226012768 / 4
LCM(56792,56804) = 806503192

Least Common Multiple (LCM) of 56792 and 56804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56792 and 56804. First we will calculate the prime factors of 56792 and 56804.

Prime Factorization of 56792

Prime Factorization of 56804

Now multiplying the highest exponent prime factors to calculate the LCM of 56792 and 56804.

LCM(56792,56804) = 2³ × 31¹ × 229¹ × 11¹ × 1291¹
LCM(56792,56804) = 806503192