What is the Least Common Multiple of 99784 and 99794?

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 99784 and 99794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99784 and 99794, than apply into the LCM equation.

GCF(99784,99794) = 2
LCM(99784,99794) = ( 99784 × 99794) / 2
LCM(99784,99794) = 9957844496 / 2
LCM(99784,99794) = 4978922248

Least Common Multiple (LCM) of 99784 and 99794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99784 and 99794. First we will calculate the prime factors of 99784 and 99794.

Prime Factorization of 99784

Prime Factorization of 99794

Now multiplying the highest exponent prime factors to calculate the LCM of 99784 and 99794.

LCM(99784,99794) = 2³ × 12473¹ × 41¹ × 1217¹
LCM(99784,99794) = 4978922248