GCF and LCM Calculator Logo

What is the Least Common Multiple of 8792 and 8807?

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 8792 and 8807 is 77431144.

LCM(8792,8807) = 77431144

LCM Calculator and
and

Least Common Multiple of 8792 and 8807 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 8807, than apply into the LCM equation.

GCF(8792,8807) = 1
LCM(8792,8807) = ( 8792 × 8807) / 1
LCM(8792,8807) = 77431144 / 1
LCM(8792,8807) = 77431144

Least Common Multiple (LCM) of 8792 and 8807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8792 and 8807. First we will calculate the prime factors of 8792 and 8807.

Prime Factorization of 8792

Prime factors of 8792 are 2, 7, 157. Prime factorization of 8792 in exponential form is:

8792 = 23 × 71 × 1571

Prime Factorization of 8807

Prime factors of 8807 are 8807. Prime factorization of 8807 in exponential form is:

8807 = 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 8792 and 8807.

LCM(8792,8807) = 23 × 71 × 1571 × 88071
LCM(8792,8807) = 77431144