What is the Least Common Multiple of 88889 and 88898?

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 88889 and 88898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88889 and 88898, than apply into the LCM equation.

GCF(88889,88898) = 1
LCM(88889,88898) = ( 88889 × 88898) / 1
LCM(88889,88898) = 7902054322 / 1
LCM(88889,88898) = 7902054322

Least Common Multiple (LCM) of 88889 and 88898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88889 and 88898. First we will calculate the prime factors of 88889 and 88898.

Prime Factorization of 88889

Prime Factorization of 88898

Now multiplying the highest exponent prime factors to calculate the LCM of 88889 and 88898.

LCM(88889,88898) = 103¹ × 863¹ × 2¹ × 44449¹
LCM(88889,88898) = 7902054322