What is the Least Common Multiple of 99942 and 99950?

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 99942 and 99950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99942 and 99950, than apply into the LCM equation.

GCF(99942,99950) = 2
LCM(99942,99950) = ( 99942 × 99950) / 2
LCM(99942,99950) = 9989202900 / 2
LCM(99942,99950) = 4994601450

Least Common Multiple (LCM) of 99942 and 99950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99942 and 99950. First we will calculate the prime factors of 99942 and 99950.

Prime Factorization of 99942

Prime Factorization of 99950

Now multiplying the highest exponent prime factors to calculate the LCM of 99942 and 99950.

LCM(99942,99950) = 2¹ × 3¹ × 16657¹ × 5² × 1999¹
LCM(99942,99950) = 4994601450