What is the Least Common Multiple of 99564 and 99584?

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 99564 and 99584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99564 and 99584, than apply into the LCM equation.

GCF(99564,99584) = 4
LCM(99564,99584) = ( 99564 × 99584) / 4
LCM(99564,99584) = 9914981376 / 4
LCM(99564,99584) = 2478745344

Least Common Multiple (LCM) of 99564 and 99584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99564 and 99584. First we will calculate the prime factors of 99564 and 99584.

Prime Factorization of 99564

Prime Factorization of 99584

Now multiplying the highest exponent prime factors to calculate the LCM of 99564 and 99584.

LCM(99564,99584) = 2⁸ × 3¹ × 8297¹ × 389¹
LCM(99564,99584) = 2478745344