What is the Least Common Multiple of 16919 and 16937?

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 16919 and 16937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16919 and 16937, than apply into the LCM equation.

GCF(16919,16937) = 1
LCM(16919,16937) = ( 16919 × 16937) / 1
LCM(16919,16937) = 286557103 / 1
LCM(16919,16937) = 286557103

Least Common Multiple (LCM) of 16919 and 16937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16919 and 16937. First we will calculate the prime factors of 16919 and 16937.

Prime Factorization of 16919

Prime Factorization of 16937

Now multiplying the highest exponent prime factors to calculate the LCM of 16919 and 16937.

LCM(16919,16937) = 7¹ × 2417¹ × 16937¹
LCM(16919,16937) = 286557103