GCF and LCM Calculator Logo

What is the Least Common Multiple of 8800 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 (LCM) of 8800 and 8806 is 38746400.

LCM(8800,8806) = 38746400

LCM Calculator and
and

Least Common Multiple of 8800 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 8800 and 8806, than apply into the LCM equation.

GCF(8800,8806) = 2
LCM(8800,8806) = ( 8800 × 8806) / 2
LCM(8800,8806) = 77492800 / 2
LCM(8800,8806) = 38746400

Least Common Multiple (LCM) of 8800 and 8806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8806. First we will calculate the prime factors of 8800 and 8806.

Prime Factorization of 8800

Prime factors of 8800 are 2, 5, 11. Prime factorization of 8800 in exponential form is:

8800 = 25 × 52 × 111

Prime Factorization of 8806

Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:

8806 = 21 × 71 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8806.

LCM(8800,8806) = 25 × 52 × 111 × 71 × 171 × 371
LCM(8800,8806) = 38746400