What is the Least Common Multiple of 8775 and 8788?

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 8775 and 8788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8775 and 8788, than apply into the LCM equation.

GCF(8775,8788) = 13
LCM(8775,8788) = ( 8775 × 8788) / 13
LCM(8775,8788) = 77114700 / 13
LCM(8775,8788) = 5931900

Least Common Multiple (LCM) of 8775 and 8788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8775 and 8788. First we will calculate the prime factors of 8775 and 8788.

Prime Factorization of 8775

Prime Factorization of 8788

Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8788.

LCM(8775,8788) = 3³ × 5² × 13³ × 2²
LCM(8775,8788) = 5931900