What is the Least Common Multiple of 99138 and 99146?

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 99138 and 99146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99138 and 99146, than apply into the LCM equation.

GCF(99138,99146) = 2
LCM(99138,99146) = ( 99138 × 99146) / 2
LCM(99138,99146) = 9829136148 / 2
LCM(99138,99146) = 4914568074

Least Common Multiple (LCM) of 99138 and 99146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99138 and 99146. First we will calculate the prime factors of 99138 and 99146.

Prime Factorization of 99138

Prime Factorization of 99146

Now multiplying the highest exponent prime factors to calculate the LCM of 99138 and 99146.

LCM(99138,99146) = 2¹ × 3¹ × 13¹ × 31¹ × 41¹ × 89¹ × 557¹
LCM(99138,99146) = 4914568074