What is the Least Common Multiple of 56804 and 56816?

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 56804 and 56816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56804 and 56816, than apply into the LCM equation.

GCF(56804,56816) = 4
LCM(56804,56816) = ( 56804 × 56816) / 4
LCM(56804,56816) = 3227376064 / 4
LCM(56804,56816) = 806844016

Least Common Multiple (LCM) of 56804 and 56816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56804 and 56816. First we will calculate the prime factors of 56804 and 56816.

Prime Factorization of 56804

Prime Factorization of 56816

Now multiplying the highest exponent prime factors to calculate the LCM of 56804 and 56816.

LCM(56804,56816) = 2⁴ × 11¹ × 1291¹ × 53¹ × 67¹
LCM(56804,56816) = 806844016