What is the Least Common Multiple of 19407 and 19422?

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 19407 and 19422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19407 and 19422, than apply into the LCM equation.

GCF(19407,19422) = 3
LCM(19407,19422) = ( 19407 × 19422) / 3
LCM(19407,19422) = 376922754 / 3
LCM(19407,19422) = 125640918

Least Common Multiple (LCM) of 19407 and 19422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19407 and 19422. First we will calculate the prime factors of 19407 and 19422.

Prime Factorization of 19407

Prime Factorization of 19422

Now multiplying the highest exponent prime factors to calculate the LCM of 19407 and 19422.

LCM(19407,19422) = 3² × 6469¹ × 2¹ × 13¹ × 83¹
LCM(19407,19422) = 125640918