What is the Least Common Multiple of 99942 and 99958?

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 99958 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 99958, than apply into the LCM equation.

GCF(99942,99958) = 2
LCM(99942,99958) = ( 99942 × 99958) / 2
LCM(99942,99958) = 9990002436 / 2
LCM(99942,99958) = 4995001218

Least Common Multiple (LCM) of 99942 and 99958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99942 and 99958. First we will calculate the prime factors of 99942 and 99958.

Prime Factorization of 99942

Prime Factorization of 99958

Now multiplying the highest exponent prime factors to calculate the LCM of 99942 and 99958.

LCM(99942,99958) = 2¹ × 3¹ × 16657¹ × 23¹ × 41¹ × 53¹
LCM(99942,99958) = 4995001218