GCF and LCM Calculator Logo

What is the Least Common Multiple of 10151 and 10171?

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 10151 and 10171 is 103245821.

LCM(10151,10171) = 103245821

LCM Calculator and
and

Least Common Multiple of 10151 and 10171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10151 and 10171, than apply into the LCM equation.

GCF(10151,10171) = 1
LCM(10151,10171) = ( 10151 × 10171) / 1
LCM(10151,10171) = 103245821 / 1
LCM(10151,10171) = 103245821

Least Common Multiple (LCM) of 10151 and 10171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10151 and 10171. First we will calculate the prime factors of 10151 and 10171.

Prime Factorization of 10151

Prime factors of 10151 are 10151. Prime factorization of 10151 in exponential form is:

10151 = 101511

Prime Factorization of 10171

Prime factors of 10171 are 7, 1453. Prime factorization of 10171 in exponential form is:

10171 = 71 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 10151 and 10171.

LCM(10151,10171) = 101511 × 71 × 14531
LCM(10151,10171) = 103245821