What is the Least Common Multiple of 99401 and 99416?

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 99401 and 99416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99401 and 99416, than apply into the LCM equation.

GCF(99401,99416) = 1
LCM(99401,99416) = ( 99401 × 99416) / 1
LCM(99401,99416) = 9882049816 / 1
LCM(99401,99416) = 9882049816

Least Common Multiple (LCM) of 99401 and 99416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99401 and 99416. First we will calculate the prime factors of 99401 and 99416.

Prime Factorization of 99401

Prime Factorization of 99416

Now multiplying the highest exponent prime factors to calculate the LCM of 99401 and 99416.

LCM(99401,99416) = 99401¹ × 2³ × 17² × 43¹
LCM(99401,99416) = 9882049816