What is the Least Common Multiple of 98564 and 98578?

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 98564 and 98578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98564 and 98578, than apply into the LCM equation.

GCF(98564,98578) = 2
LCM(98564,98578) = ( 98564 × 98578) / 2
LCM(98564,98578) = 9716241992 / 2
LCM(98564,98578) = 4858120996

Least Common Multiple (LCM) of 98564 and 98578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98564 and 98578. First we will calculate the prime factors of 98564 and 98578.

Prime Factorization of 98564

Prime Factorization of 98578

Now multiplying the highest exponent prime factors to calculate the LCM of 98564 and 98578.

LCM(98564,98578) = 2² × 41¹ × 601¹ × 23¹ × 2143¹
LCM(98564,98578) = 4858120996