What is the Least Common Multiple of 99748 and 99756?

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 99748 and 99756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99748 and 99756, than apply into the LCM equation.

GCF(99748,99756) = 4
LCM(99748,99756) = ( 99748 × 99756) / 4
LCM(99748,99756) = 9950461488 / 4
LCM(99748,99756) = 2487615372

Least Common Multiple (LCM) of 99748 and 99756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99748 and 99756. First we will calculate the prime factors of 99748 and 99756.

Prime Factorization of 99748

Prime Factorization of 99756

Now multiplying the highest exponent prime factors to calculate the LCM of 99748 and 99756.

LCM(99748,99756) = 2² × 11¹ × 2267¹ × 3² × 17¹ × 163¹
LCM(99748,99756) = 2487615372