What is the Least Common Multiple of 13416 and 13422?

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 13416 and 13422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13416 and 13422, than apply into the LCM equation.

GCF(13416,13422) = 6
LCM(13416,13422) = ( 13416 × 13422) / 6
LCM(13416,13422) = 180069552 / 6
LCM(13416,13422) = 30011592

Least Common Multiple (LCM) of 13416 and 13422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13416 and 13422. First we will calculate the prime factors of 13416 and 13422.

Prime Factorization of 13416

Prime Factorization of 13422

Now multiplying the highest exponent prime factors to calculate the LCM of 13416 and 13422.

LCM(13416,13422) = 2³ × 3¹ × 13¹ × 43¹ × 2237¹
LCM(13416,13422) = 30011592