What is the Least Common Multiple of 99408 and 99422?

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 99422 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 99422, than apply into the LCM equation.

GCF(99408,99422) = 2
LCM(99408,99422) = ( 99408 × 99422) / 2
LCM(99408,99422) = 9883342176 / 2
LCM(99408,99422) = 4941671088

Least Common Multiple (LCM) of 99408 and 99422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99408 and 99422. First we will calculate the prime factors of 99408 and 99422.

Prime Factorization of 99408

Prime Factorization of 99422

Now multiplying the highest exponent prime factors to calculate the LCM of 99408 and 99422.

LCM(99408,99422) = 2⁴ × 3¹ × 19¹ × 109¹ × 49711¹
LCM(99408,99422) = 4941671088