What is the Least Common Multiple of 16416 and 16422?

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 16416 and 16422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16416 and 16422, than apply into the LCM equation.

GCF(16416,16422) = 6
LCM(16416,16422) = ( 16416 × 16422) / 6
LCM(16416,16422) = 269583552 / 6
LCM(16416,16422) = 44930592

Least Common Multiple (LCM) of 16416 and 16422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16416 and 16422. First we will calculate the prime factors of 16416 and 16422.

Prime Factorization of 16416

Prime Factorization of 16422

Now multiplying the highest exponent prime factors to calculate the LCM of 16416 and 16422.

LCM(16416,16422) = 2⁵ × 3³ × 19¹ × 7¹ × 17¹ × 23¹
LCM(16416,16422) = 44930592