What is the Least Common Multiple of 99126 and 99142?

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 99126 and 99142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99126 and 99142, than apply into the LCM equation.

GCF(99126,99142) = 2
LCM(99126,99142) = ( 99126 × 99142) / 2
LCM(99126,99142) = 9827549892 / 2
LCM(99126,99142) = 4913774946

Least Common Multiple (LCM) of 99126 and 99142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99126 and 99142. First we will calculate the prime factors of 99126 and 99142.

Prime Factorization of 99126

Prime Factorization of 99142

Now multiplying the highest exponent prime factors to calculate the LCM of 99126 and 99142.

LCM(99126,99142) = 2¹ × 3² × 5507¹ × 19¹ × 2609¹
LCM(99126,99142) = 4913774946