What is the Least Common Multiple of 99408 and 99414?

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 99408 and 99414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99408 and 99414, than apply into the LCM equation.

GCF(99408,99414) = 6
LCM(99408,99414) = ( 99408 × 99414) / 6
LCM(99408,99414) = 9882546912 / 6
LCM(99408,99414) = 1647091152

Least Common Multiple (LCM) of 99408 and 99414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99408 and 99414. First we will calculate the prime factors of 99408 and 99414.

Prime Factorization of 99408

Prime Factorization of 99414

Now multiplying the highest exponent prime factors to calculate the LCM of 99408 and 99414.

LCM(99408,99414) = 2⁴ × 3³ × 19¹ × 109¹ × 7¹ × 263¹
LCM(99408,99414) = 1647091152