What is the Least Common Multiple of 19392 and 19407?

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 19392 and 19407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19392 and 19407, than apply into the LCM equation.

GCF(19392,19407) = 3
LCM(19392,19407) = ( 19392 × 19407) / 3
LCM(19392,19407) = 376340544 / 3
LCM(19392,19407) = 125446848

Least Common Multiple (LCM) of 19392 and 19407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19392 and 19407. First we will calculate the prime factors of 19392 and 19407.

Prime Factorization of 19392

Prime Factorization of 19407

Now multiplying the highest exponent prime factors to calculate the LCM of 19392 and 19407.

LCM(19392,19407) = 2⁶ × 3¹ × 101¹ × 6469¹
LCM(19392,19407) = 125446848