What is the Least Common Multiple of 99924 and 99928?

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 99924 and 99928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99924 and 99928, than apply into the LCM equation.

GCF(99924,99928) = 4
LCM(99924,99928) = ( 99924 × 99928) / 4
LCM(99924,99928) = 9985205472 / 4
LCM(99924,99928) = 2496301368

Least Common Multiple (LCM) of 99924 and 99928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99924 and 99928. First we will calculate the prime factors of 99924 and 99928.

Prime Factorization of 99924

Prime Factorization of 99928

Now multiplying the highest exponent prime factors to calculate the LCM of 99924 and 99928.

LCM(99924,99928) = 2³ × 3¹ × 11¹ × 757¹ × 12491¹
LCM(99924,99928) = 2496301368