GCF and LCM Calculator Logo

What is the Least Common Multiple of 17108 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 (LCM) of 17108 and 17123 is 292940284.

LCM(17108,17123) = 292940284

LCM Calculator and
and

Least Common Multiple of 17108 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 17108 and 17123, than apply into the LCM equation.

GCF(17108,17123) = 1
LCM(17108,17123) = ( 17108 × 17123) / 1
LCM(17108,17123) = 292940284 / 1
LCM(17108,17123) = 292940284

Least Common Multiple (LCM) of 17108 and 17123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17108 and 17123. First we will calculate the prime factors of 17108 and 17123.

Prime Factorization of 17108

Prime factors of 17108 are 2, 7, 13, 47. Prime factorization of 17108 in exponential form is:

17108 = 22 × 71 × 131 × 471

Prime Factorization of 17123

Prime factors of 17123 are 17123. Prime factorization of 17123 in exponential form is:

17123 = 171231

Now multiplying the highest exponent prime factors to calculate the LCM of 17108 and 17123.

LCM(17108,17123) = 22 × 71 × 131 × 471 × 171231
LCM(17108,17123) = 292940284