What is the Least Common Multiple of 17095 and 17109?

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 17095 and 17109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17095 and 17109, than apply into the LCM equation.

GCF(17095,17109) = 1
LCM(17095,17109) = ( 17095 × 17109) / 1
LCM(17095,17109) = 292478355 / 1
LCM(17095,17109) = 292478355

Least Common Multiple (LCM) of 17095 and 17109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17095 and 17109. First we will calculate the prime factors of 17095 and 17109.

Prime Factorization of 17095

Prime Factorization of 17109

Now multiplying the highest exponent prime factors to calculate the LCM of 17095 and 17109.

LCM(17095,17109) = 5¹ × 13¹ × 263¹ × 3² × 1901¹
LCM(17095,17109) = 292478355