What is the Least Common Multiple of 17109 and 17123?

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 17109 and 17123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17109 and 17123, than apply into the LCM equation.

GCF(17109,17123) = 1
LCM(17109,17123) = ( 17109 × 17123) / 1
LCM(17109,17123) = 292957407 / 1
LCM(17109,17123) = 292957407

Least Common Multiple (LCM) of 17109 and 17123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17109 and 17123. First we will calculate the prime factors of 17109 and 17123.

Prime Factorization of 17109

Prime Factorization of 17123

Now multiplying the highest exponent prime factors to calculate the LCM of 17109 and 17123.

LCM(17109,17123) = 3² × 1901¹ × 17123¹
LCM(17109,17123) = 292957407