GCF and LCM Calculator Logo

What is the Least Common Multiple of 10091 and 10103?

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 10091 and 10103 is 101949373.

LCM(10091,10103) = 101949373

LCM Calculator and
and

Least Common Multiple of 10091 and 10103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10091 and 10103, than apply into the LCM equation.

GCF(10091,10103) = 1
LCM(10091,10103) = ( 10091 × 10103) / 1
LCM(10091,10103) = 101949373 / 1
LCM(10091,10103) = 101949373

Least Common Multiple (LCM) of 10091 and 10103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10091 and 10103. First we will calculate the prime factors of 10091 and 10103.

Prime Factorization of 10091

Prime factors of 10091 are 10091. Prime factorization of 10091 in exponential form is:

10091 = 100911

Prime Factorization of 10103

Prime factors of 10103 are 10103. Prime factorization of 10103 in exponential form is:

10103 = 101031

Now multiplying the highest exponent prime factors to calculate the LCM of 10091 and 10103.

LCM(10091,10103) = 100911 × 101031
LCM(10091,10103) = 101949373