What is the Least Common Multiple of 13919 and 13939?

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 13919 and 13939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13919 and 13939, than apply into the LCM equation.

GCF(13919,13939) = 1
LCM(13919,13939) = ( 13919 × 13939) / 1
LCM(13919,13939) = 194016941 / 1
LCM(13919,13939) = 194016941

Least Common Multiple (LCM) of 13919 and 13939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13919 and 13939. First we will calculate the prime factors of 13919 and 13939.

Prime Factorization of 13919

Prime Factorization of 13939

Now multiplying the highest exponent prime factors to calculate the LCM of 13919 and 13939.

LCM(13919,13939) = 31¹ × 449¹ × 53¹ × 263¹
LCM(13919,13939) = 194016941