What is the Least Common Multiple of 98656 and 98674?

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 98674 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 98674, than apply into the LCM equation.

GCF(98656,98674) = 2
LCM(98656,98674) = ( 98656 × 98674) / 2
LCM(98656,98674) = 9734782144 / 2
LCM(98656,98674) = 4867391072

Least Common Multiple (LCM) of 98656 and 98674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98656 and 98674. First we will calculate the prime factors of 98656 and 98674.

Prime Factorization of 98656

Prime Factorization of 98674

Now multiplying the highest exponent prime factors to calculate the LCM of 98656 and 98674.

LCM(98656,98674) = 2⁵ × 3083¹ × 103¹ × 479¹
LCM(98656,98674) = 4867391072