What is the Least Common Multiple of 98674 and 98684?

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 98674 and 98684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98674 and 98684, than apply into the LCM equation.

GCF(98674,98684) = 2
LCM(98674,98684) = ( 98674 × 98684) / 2
LCM(98674,98684) = 9737545016 / 2
LCM(98674,98684) = 4868772508

Least Common Multiple (LCM) of 98674 and 98684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98674 and 98684. First we will calculate the prime factors of 98674 and 98684.

Prime Factorization of 98674

Prime Factorization of 98684

Now multiplying the highest exponent prime factors to calculate the LCM of 98674 and 98684.

LCM(98674,98684) = 2² × 103¹ × 479¹ × 24671¹
LCM(98674,98684) = 4868772508