What is the Least Common Multiple of 19929 and 19941?

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 19929 and 19941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19929 and 19941, than apply into the LCM equation.

GCF(19929,19941) = 3
LCM(19929,19941) = ( 19929 × 19941) / 3
LCM(19929,19941) = 397404189 / 3
LCM(19929,19941) = 132468063

Least Common Multiple (LCM) of 19929 and 19941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19929 and 19941. First we will calculate the prime factors of 19929 and 19941.

Prime Factorization of 19929

Prime Factorization of 19941

Now multiplying the highest exponent prime factors to calculate the LCM of 19929 and 19941.

LCM(19929,19941) = 3¹ × 7¹ × 13¹ × 73¹ × 17² × 23¹
LCM(19929,19941) = 132468063