What is the Least Common Multiple of 98656 and 98676?

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 98656 and 98676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98656 and 98676, than apply into the LCM equation.

GCF(98656,98676) = 4
LCM(98656,98676) = ( 98656 × 98676) / 4
LCM(98656,98676) = 9734979456 / 4
LCM(98656,98676) = 2433744864

Least Common Multiple (LCM) of 98656 and 98676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98656 and 98676. First we will calculate the prime factors of 98656 and 98676.

Prime Factorization of 98656

Prime Factorization of 98676

Now multiplying the highest exponent prime factors to calculate the LCM of 98656 and 98676.

LCM(98656,98676) = 2⁵ × 3083¹ × 3² × 2741¹
LCM(98656,98676) = 2433744864