What is the Least Common Multiple of 19923 and 19929?

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 19923 and 19929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19923 and 19929, than apply into the LCM equation.

GCF(19923,19929) = 3
LCM(19923,19929) = ( 19923 × 19929) / 3
LCM(19923,19929) = 397045467 / 3
LCM(19923,19929) = 132348489

Least Common Multiple (LCM) of 19923 and 19929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19923 and 19929. First we will calculate the prime factors of 19923 and 19929.

Prime Factorization of 19923

Prime Factorization of 19929

Now multiplying the highest exponent prime factors to calculate the LCM of 19923 and 19929.

LCM(19923,19929) = 3¹ × 29¹ × 229¹ × 7¹ × 13¹ × 73¹
LCM(19923,19929) = 132348489