What is the Least Common Multiple of 88809 and 88823?

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 88809 and 88823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88809 and 88823, than apply into the LCM equation.

GCF(88809,88823) = 7
LCM(88809,88823) = ( 88809 × 88823) / 7
LCM(88809,88823) = 7888281807 / 7
LCM(88809,88823) = 1126897401

Least Common Multiple (LCM) of 88809 and 88823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88809 and 88823. First we will calculate the prime factors of 88809 and 88823.

Prime Factorization of 88809

Prime Factorization of 88823

Now multiplying the highest exponent prime factors to calculate the LCM of 88809 and 88823.

LCM(88809,88823) = 3¹ × 7¹ × 4229¹ × 12689¹
LCM(88809,88823) = 1126897401