What is the Least Common Multiple of 88859 and 88876?

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 88859 and 88876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88859 and 88876, than apply into the LCM equation.

GCF(88859,88876) = 17
LCM(88859,88876) = ( 88859 × 88876) / 17
LCM(88859,88876) = 7897432484 / 17
LCM(88859,88876) = 464554852

Least Common Multiple (LCM) of 88859 and 88876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88859 and 88876. First we will calculate the prime factors of 88859 and 88876.

Prime Factorization of 88859

Prime Factorization of 88876

Now multiplying the highest exponent prime factors to calculate the LCM of 88859 and 88876.

LCM(88859,88876) = 17¹ × 5227¹ × 2² × 1307¹
LCM(88859,88876) = 464554852