What is the Least Common Multiple of 99856 and 99874?

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 99856 and 99874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99856 and 99874, than apply into the LCM equation.

GCF(99856,99874) = 2
LCM(99856,99874) = ( 99856 × 99874) / 2
LCM(99856,99874) = 9973018144 / 2
LCM(99856,99874) = 4986509072

Least Common Multiple (LCM) of 99856 and 99874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99856 and 99874. First we will calculate the prime factors of 99856 and 99874.

Prime Factorization of 99856

Prime Factorization of 99874

Now multiplying the highest exponent prime factors to calculate the LCM of 99856 and 99874.

LCM(99856,99874) = 2⁴ × 79² × 49937¹
LCM(99856,99874) = 4986509072