What is the Least Common Multiple of 99396 and 99404?

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 99396 and 99404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99396 and 99404, than apply into the LCM equation.

GCF(99396,99404) = 4
LCM(99396,99404) = ( 99396 × 99404) / 4
LCM(99396,99404) = 9880359984 / 4
LCM(99396,99404) = 2470089996

Least Common Multiple (LCM) of 99396 and 99404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99396 and 99404. First we will calculate the prime factors of 99396 and 99404.

Prime Factorization of 99396

Prime Factorization of 99404

Now multiplying the highest exponent prime factors to calculate the LCM of 99396 and 99404.

LCM(99396,99404) = 2² × 3² × 11¹ × 251¹ × 24851¹
LCM(99396,99404) = 2470089996