What is the Least Common Multiple of 17105 and 17115?

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 17105 and 17115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17105 and 17115, than apply into the LCM equation.

GCF(17105,17115) = 5
LCM(17105,17115) = ( 17105 × 17115) / 5
LCM(17105,17115) = 292752075 / 5
LCM(17105,17115) = 58550415

Least Common Multiple (LCM) of 17105 and 17115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17105 and 17115. First we will calculate the prime factors of 17105 and 17115.

Prime Factorization of 17105

Prime Factorization of 17115

Now multiplying the highest exponent prime factors to calculate the LCM of 17105 and 17115.

LCM(17105,17115) = 5¹ × 11¹ × 311¹ × 3¹ × 7¹ × 163¹
LCM(17105,17115) = 58550415