What is the Least Common Multiple of 19344 and 19350?

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 19344 and 19350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19344 and 19350, than apply into the LCM equation.

GCF(19344,19350) = 6
LCM(19344,19350) = ( 19344 × 19350) / 6
LCM(19344,19350) = 374306400 / 6
LCM(19344,19350) = 62384400

Least Common Multiple (LCM) of 19344 and 19350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19344 and 19350. First we will calculate the prime factors of 19344 and 19350.

Prime Factorization of 19344

Prime Factorization of 19350

Now multiplying the highest exponent prime factors to calculate the LCM of 19344 and 19350.

LCM(19344,19350) = 2⁴ × 3² × 13¹ × 31¹ × 5² × 43¹
LCM(19344,19350) = 62384400