What is the Least Common Multiple of 19416 and 19429?

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 19416 and 19429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19416 and 19429, than apply into the LCM equation.

GCF(19416,19429) = 1
LCM(19416,19429) = ( 19416 × 19429) / 1
LCM(19416,19429) = 377233464 / 1
LCM(19416,19429) = 377233464

Least Common Multiple (LCM) of 19416 and 19429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19416 and 19429. First we will calculate the prime factors of 19416 and 19429.

Prime Factorization of 19416

Prime Factorization of 19429

Now multiplying the highest exponent prime factors to calculate the LCM of 19416 and 19429.

LCM(19416,19429) = 2³ × 3¹ × 809¹ × 19429¹
LCM(19416,19429) = 377233464