What is the Least Common Multiple of 99851 and 99856?

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 99851 and 99856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99851 and 99856, than apply into the LCM equation.

GCF(99851,99856) = 1
LCM(99851,99856) = ( 99851 × 99856) / 1
LCM(99851,99856) = 9970721456 / 1
LCM(99851,99856) = 9970721456

Least Common Multiple (LCM) of 99851 and 99856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99851 and 99856. First we will calculate the prime factors of 99851 and 99856.

Prime Factorization of 99851

Prime Factorization of 99856

Now multiplying the highest exponent prime factors to calculate the LCM of 99851 and 99856.

LCM(99851,99856) = 31¹ × 3221¹ × 2⁴ × 79²
LCM(99851,99856) = 9970721456