What is the Least Common Multiple of 8800 and 8811?

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 8800 and 8811 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 8811, than apply into the LCM equation.

GCF(8800,8811) = 11
LCM(8800,8811) = ( 8800 × 8811) / 11
LCM(8800,8811) = 77536800 / 11
LCM(8800,8811) = 7048800

Least Common Multiple (LCM) of 8800 and 8811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8800 and 8811. First we will calculate the prime factors of 8800 and 8811.

Prime Factorization of 8800

Prime Factorization of 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 8800 and 8811.

LCM(8800,8811) = 2⁵ × 5² × 11¹ × 3² × 89¹
LCM(8800,8811) = 7048800