What is the Least Common Multiple of 17100 and 17105?

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 17100 and 17105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17100 and 17105, than apply into the LCM equation.

GCF(17100,17105) = 5
LCM(17100,17105) = ( 17100 × 17105) / 5
LCM(17100,17105) = 292495500 / 5
LCM(17100,17105) = 58499100

Least Common Multiple (LCM) of 17100 and 17105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17100 and 17105. First we will calculate the prime factors of 17100 and 17105.

Prime Factorization of 17100

Prime Factorization of 17105

Now multiplying the highest exponent prime factors to calculate the LCM of 17100 and 17105.

LCM(17100,17105) = 2² × 3² × 5² × 19¹ × 11¹ × 311¹
LCM(17100,17105) = 58499100