What is the Least Common Multiple of 88326 and 88344?

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 88326 and 88344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88326 and 88344, than apply into the LCM equation.

GCF(88326,88344) = 18
LCM(88326,88344) = ( 88326 × 88344) / 18
LCM(88326,88344) = 7803072144 / 18
LCM(88326,88344) = 433504008

Least Common Multiple (LCM) of 88326 and 88344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88326 and 88344. First we will calculate the prime factors of 88326 and 88344.

Prime Factorization of 88326

Prime Factorization of 88344

Now multiplying the highest exponent prime factors to calculate the LCM of 88326 and 88344.

LCM(88326,88344) = 2³ × 3³ × 7¹ × 701¹ × 409¹
LCM(88326,88344) = 433504008