What is the Least Common Multiple of 17119 and 17137?

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 17119 and 17137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17119 and 17137, than apply into the LCM equation.

GCF(17119,17137) = 1
LCM(17119,17137) = ( 17119 × 17137) / 1
LCM(17119,17137) = 293368303 / 1
LCM(17119,17137) = 293368303

Least Common Multiple (LCM) of 17119 and 17137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17119 and 17137. First we will calculate the prime factors of 17119 and 17137.

Prime Factorization of 17119

Prime Factorization of 17137

Now multiplying the highest exponent prime factors to calculate the LCM of 17119 and 17137.

LCM(17119,17137) = 17¹ × 19¹ × 53¹ × 17137¹
LCM(17119,17137) = 293368303