What is the Least Common Multiple of 10096 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 of 10096 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 10096 and 10103, than apply into the LCM equation.

GCF(10096,10103) = 1
LCM(10096,10103) = ( 10096 × 10103) / 1
LCM(10096,10103) = 101999888 / 1
LCM(10096,10103) = 101999888

Least Common Multiple (LCM) of 10096 and 10103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10096 and 10103. First we will calculate the prime factors of 10096 and 10103.

Prime Factorization of 10096

Prime Factorization of 10103

Now multiplying the highest exponent prime factors to calculate the LCM of 10096 and 10103.

LCM(10096,10103) = 2⁴ × 631¹ × 10103¹
LCM(10096,10103) = 101999888