What is the Least Common Multiple of 99506 and 99524?

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 99506 and 99524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99506 and 99524, than apply into the LCM equation.

GCF(99506,99524) = 2
LCM(99506,99524) = ( 99506 × 99524) / 2
LCM(99506,99524) = 9903235144 / 2
LCM(99506,99524) = 4951617572

Least Common Multiple (LCM) of 99506 and 99524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99506 and 99524. First we will calculate the prime factors of 99506 and 99524.

Prime Factorization of 99506

Prime Factorization of 99524

Now multiplying the highest exponent prime factors to calculate the LCM of 99506 and 99524.

LCM(99506,99524) = 2² × 11¹ × 4523¹ × 139¹ × 179¹
LCM(99506,99524) = 4951617572