What is the Least Common Multiple of 17105 and 17124?

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 17124 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 17124, than apply into the LCM equation.

GCF(17105,17124) = 1
LCM(17105,17124) = ( 17105 × 17124) / 1
LCM(17105,17124) = 292906020 / 1
LCM(17105,17124) = 292906020

Least Common Multiple (LCM) of 17105 and 17124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17105 and 17124. First we will calculate the prime factors of 17105 and 17124.

Prime Factorization of 17105

Prime Factorization of 17124

Now multiplying the highest exponent prime factors to calculate the LCM of 17105 and 17124.

LCM(17105,17124) = 5¹ × 11¹ × 311¹ × 2² × 3¹ × 1427¹
LCM(17105,17124) = 292906020