What is the Least Common Multiple of 10396 and 10403?

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 10396 and 10403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10396 and 10403, than apply into the LCM equation.

GCF(10396,10403) = 1
LCM(10396,10403) = ( 10396 × 10403) / 1
LCM(10396,10403) = 108149588 / 1
LCM(10396,10403) = 108149588

Least Common Multiple (LCM) of 10396 and 10403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10396 and 10403. First we will calculate the prime factors of 10396 and 10403.

Prime Factorization of 10396

Prime Factorization of 10403

Now multiplying the highest exponent prime factors to calculate the LCM of 10396 and 10403.

LCM(10396,10403) = 2² × 23¹ × 113¹ × 101¹ × 103¹
LCM(10396,10403) = 108149588