GCF and LCM Calculator Logo

What is the Least Common Multiple of 8770 and 8785?

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 8770 and 8785 is 15408890.

LCM(8770,8785) = 15408890

LCM Calculator and
and

Least Common Multiple of 8770 and 8785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8770 and 8785, than apply into the LCM equation.

GCF(8770,8785) = 5
LCM(8770,8785) = ( 8770 × 8785) / 5
LCM(8770,8785) = 77044450 / 5
LCM(8770,8785) = 15408890

Least Common Multiple (LCM) of 8770 and 8785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8770 and 8785. First we will calculate the prime factors of 8770 and 8785.

Prime Factorization of 8770

Prime factors of 8770 are 2, 5, 877. Prime factorization of 8770 in exponential form is:

8770 = 21 × 51 × 8771

Prime Factorization of 8785

Prime factors of 8785 are 5, 7, 251. Prime factorization of 8785 in exponential form is:

8785 = 51 × 71 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 8770 and 8785.

LCM(8770,8785) = 21 × 51 × 8771 × 71 × 2511
LCM(8770,8785) = 15408890