What is the Least Common Multiple of 99650 and 99663?

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 99650 and 99663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99650 and 99663, than apply into the LCM equation.

GCF(99650,99663) = 1
LCM(99650,99663) = ( 99650 × 99663) / 1
LCM(99650,99663) = 9931417950 / 1
LCM(99650,99663) = 9931417950

Least Common Multiple (LCM) of 99650 and 99663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99650 and 99663. First we will calculate the prime factors of 99650 and 99663.

Prime Factorization of 99650

Prime Factorization of 99663

Now multiplying the highest exponent prime factors to calculate the LCM of 99650 and 99663.

LCM(99650,99663) = 2¹ × 5² × 1993¹ × 3¹ × 139¹ × 239¹
LCM(99650,99663) = 9931417950