What is the Least Common Multiple of 4792 and 4806?

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 4792 and 4806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4792 and 4806, than apply into the LCM equation.

GCF(4792,4806) = 2
LCM(4792,4806) = ( 4792 × 4806) / 2
LCM(4792,4806) = 23030352 / 2
LCM(4792,4806) = 11515176

Least Common Multiple (LCM) of 4792 and 4806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4792 and 4806. First we will calculate the prime factors of 4792 and 4806.

Prime Factorization of 4792

Prime Factorization of 4806

Now multiplying the highest exponent prime factors to calculate the LCM of 4792 and 4806.

LCM(4792,4806) = 2³ × 599¹ × 3³ × 89¹
LCM(4792,4806) = 11515176