What is the Least Common Multiple of 19320 and 19335?

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 19320 and 19335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19320 and 19335, than apply into the LCM equation.

GCF(19320,19335) = 15
LCM(19320,19335) = ( 19320 × 19335) / 15
LCM(19320,19335) = 373552200 / 15
LCM(19320,19335) = 24903480

Least Common Multiple (LCM) of 19320 and 19335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19320 and 19335. First we will calculate the prime factors of 19320 and 19335.

Prime Factorization of 19320

Prime Factorization of 19335

Now multiplying the highest exponent prime factors to calculate the LCM of 19320 and 19335.

LCM(19320,19335) = 2³ × 3¹ × 5¹ × 7¹ × 23¹ × 1289¹
LCM(19320,19335) = 24903480