What is the Least Common Multiple of 99102 and 99118?

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 99102 and 99118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99102 and 99118, than apply into the LCM equation.

GCF(99102,99118) = 2
LCM(99102,99118) = ( 99102 × 99118) / 2
LCM(99102,99118) = 9822792036 / 2
LCM(99102,99118) = 4911396018

Least Common Multiple (LCM) of 99102 and 99118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99102 and 99118. First we will calculate the prime factors of 99102 and 99118.

Prime Factorization of 99102

Prime Factorization of 99118

Now multiplying the highest exponent prime factors to calculate the LCM of 99102 and 99118.

LCM(99102,99118) = 2¹ × 3¹ × 83¹ × 199¹ × 49559¹
LCM(99102,99118) = 4911396018