What is the Least Common Multiple of 98864 and 98879?

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 98864 and 98879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98864 and 98879, than apply into the LCM equation.

GCF(98864,98879) = 1
LCM(98864,98879) = ( 98864 × 98879) / 1
LCM(98864,98879) = 9775573456 / 1
LCM(98864,98879) = 9775573456

Least Common Multiple (LCM) of 98864 and 98879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98864 and 98879. First we will calculate the prime factors of 98864 and 98879.

Prime Factorization of 98864

Prime Factorization of 98879

Now multiplying the highest exponent prime factors to calculate the LCM of 98864 and 98879.

LCM(98864,98879) = 2⁴ × 37¹ × 167¹ × 11¹ × 89¹ × 101¹
LCM(98864,98879) = 9775573456