What is the Least Common Multiple of 18919 and 18937?

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 18919 and 18937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18919 and 18937, than apply into the LCM equation.

GCF(18919,18937) = 1
LCM(18919,18937) = ( 18919 × 18937) / 1
LCM(18919,18937) = 358269103 / 1
LCM(18919,18937) = 358269103

Least Common Multiple (LCM) of 18919 and 18937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18919 and 18937. First we will calculate the prime factors of 18919 and 18937.

Prime Factorization of 18919

Prime Factorization of 18937

Now multiplying the highest exponent prime factors to calculate the LCM of 18919 and 18937.

LCM(18919,18937) = 18919¹ × 29¹ × 653¹
LCM(18919,18937) = 358269103