What is the Least Common Multiple of 99412 and 99431?

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 99412 and 99431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99412 and 99431, than apply into the LCM equation.

GCF(99412,99431) = 1
LCM(99412,99431) = ( 99412 × 99431) / 1
LCM(99412,99431) = 9884634572 / 1
LCM(99412,99431) = 9884634572

Least Common Multiple (LCM) of 99412 and 99431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99412 and 99431. First we will calculate the prime factors of 99412 and 99431.

Prime Factorization of 99412

Prime Factorization of 99431

Now multiplying the highest exponent prime factors to calculate the LCM of 99412 and 99431.

LCM(99412,99431) = 2² × 29¹ × 857¹ × 99431¹
LCM(99412,99431) = 9884634572