What is the Least Common Multiple of 88909 and 88917?

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 88909 and 88917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88909 and 88917, than apply into the LCM equation.

GCF(88909,88917) = 1
LCM(88909,88917) = ( 88909 × 88917) / 1
LCM(88909,88917) = 7905521553 / 1
LCM(88909,88917) = 7905521553

Least Common Multiple (LCM) of 88909 and 88917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88909 and 88917. First we will calculate the prime factors of 88909 and 88917.

Prime Factorization of 88909

Prime Factorization of 88917

Now multiplying the highest exponent prime factors to calculate the LCM of 88909 and 88917.

LCM(88909,88917) = 67¹ × 1327¹ × 3¹ × 107¹ × 277¹
LCM(88909,88917) = 7905521553