What is the Least Common Multiple of 99142 and 99149?

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 99142 and 99149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99142 and 99149, than apply into the LCM equation.

GCF(99142,99149) = 1
LCM(99142,99149) = ( 99142 × 99149) / 1
LCM(99142,99149) = 9829830158 / 1
LCM(99142,99149) = 9829830158

Least Common Multiple (LCM) of 99142 and 99149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99142 and 99149. First we will calculate the prime factors of 99142 and 99149.

Prime Factorization of 99142

Prime Factorization of 99149

Now multiplying the highest exponent prime factors to calculate the LCM of 99142 and 99149.

LCM(99142,99149) = 2¹ × 19¹ × 2609¹ × 99149¹
LCM(99142,99149) = 9829830158