What is the Least Common Multiple of 99103 and 99114?

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 99103 and 99114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99103 and 99114, than apply into the LCM equation.

GCF(99103,99114) = 1
LCM(99103,99114) = ( 99103 × 99114) / 1
LCM(99103,99114) = 9822494742 / 1
LCM(99103,99114) = 9822494742

Least Common Multiple (LCM) of 99103 and 99114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99103 and 99114. First we will calculate the prime factors of 99103 and 99114.

Prime Factorization of 99103

Prime Factorization of 99114

Now multiplying the highest exponent prime factors to calculate the LCM of 99103 and 99114.

LCM(99103,99114) = 99103¹ × 2¹ × 3¹ × 16519¹
LCM(99103,99114) = 9822494742