What is the Least Common Multiple of 99840 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 99840 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 99840 and 99856, than apply into the LCM equation.

GCF(99840,99856) = 16
LCM(99840,99856) = ( 99840 × 99856) / 16
LCM(99840,99856) = 9969623040 / 16
LCM(99840,99856) = 623101440

Least Common Multiple (LCM) of 99840 and 99856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99840 and 99856. First we will calculate the prime factors of 99840 and 99856.

Prime Factorization of 99840

Prime Factorization of 99856

Now multiplying the highest exponent prime factors to calculate the LCM of 99840 and 99856.

LCM(99840,99856) = 2⁹ × 3¹ × 5¹ × 13¹ × 79²
LCM(99840,99856) = 623101440