What is the Least Common Multiple of 19383 and 19397?

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 19383 and 19397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19383 and 19397, than apply into the LCM equation.

GCF(19383,19397) = 7
LCM(19383,19397) = ( 19383 × 19397) / 7
LCM(19383,19397) = 375972051 / 7
LCM(19383,19397) = 53710293

Least Common Multiple (LCM) of 19383 and 19397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19383 and 19397. First we will calculate the prime factors of 19383 and 19397.

Prime Factorization of 19383

Prime Factorization of 19397

Now multiplying the highest exponent prime factors to calculate the LCM of 19383 and 19397.

LCM(19383,19397) = 3¹ × 7¹ × 13¹ × 71¹ × 17¹ × 163¹
LCM(19383,19397) = 53710293