What is the Least Common Multiple of 99126 and 99131?

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 99131 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 99131, than apply into the LCM equation.

GCF(99126,99131) = 1
LCM(99126,99131) = ( 99126 × 99131) / 1
LCM(99126,99131) = 9826459506 / 1
LCM(99126,99131) = 9826459506

Least Common Multiple (LCM) of 99126 and 99131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99126 and 99131. First we will calculate the prime factors of 99126 and 99131.

Prime Factorization of 99126

Prime Factorization of 99131

Now multiplying the highest exponent prime factors to calculate the LCM of 99126 and 99131.

LCM(99126,99131) = 2¹ × 3² × 5507¹ × 99131¹
LCM(99126,99131) = 9826459506