What is the Least Common Multiple of 19931 and 19943?

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 19931 and 19943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19931 and 19943, than apply into the LCM equation.

GCF(19931,19943) = 1
LCM(19931,19943) = ( 19931 × 19943) / 1
LCM(19931,19943) = 397483933 / 1
LCM(19931,19943) = 397483933

Least Common Multiple (LCM) of 19931 and 19943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19931 and 19943. First we will calculate the prime factors of 19931 and 19943.

Prime Factorization of 19931

Prime Factorization of 19943

Now multiplying the highest exponent prime factors to calculate the LCM of 19931 and 19943.

LCM(19931,19943) = 19¹ × 1049¹ × 7² × 11¹ × 37¹
LCM(19931,19943) = 397483933