What is the Least Common Multiple of 98859 and 98877?

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 98859 and 98877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98859 and 98877, than apply into the LCM equation.

GCF(98859,98877) = 3
LCM(98859,98877) = ( 98859 × 98877) / 3
LCM(98859,98877) = 9774881343 / 3
LCM(98859,98877) = 3258293781

Least Common Multiple (LCM) of 98859 and 98877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98859 and 98877. First we will calculate the prime factors of 98859 and 98877.

Prime Factorization of 98859

Prime Factorization of 98877

Now multiplying the highest exponent prime factors to calculate the LCM of 98859 and 98877.

LCM(98859,98877) = 3¹ × 31¹ × 1063¹ × 23¹ × 1433¹
LCM(98859,98877) = 3258293781