What is the Least Common Multiple of 8792 and 8806?

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 8792 and 8806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8792 and 8806, than apply into the LCM equation.

GCF(8792,8806) = 14
LCM(8792,8806) = ( 8792 × 8806) / 14
LCM(8792,8806) = 77422352 / 14
LCM(8792,8806) = 5530168

Least Common Multiple (LCM) of 8792 and 8806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8792 and 8806. First we will calculate the prime factors of 8792 and 8806.

Prime Factorization of 8792

Prime Factorization of 8806

Now multiplying the highest exponent prime factors to calculate the LCM of 8792 and 8806.

LCM(8792,8806) = 2³ × 7¹ × 157¹ × 17¹ × 37¹
LCM(8792,8806) = 5530168