What is the Least Common Multiple of 9997 and 10004?

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 9997 and 10004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9997 and 10004, than apply into the LCM equation.

GCF(9997,10004) = 1
LCM(9997,10004) = ( 9997 × 10004) / 1
LCM(9997,10004) = 100009988 / 1
LCM(9997,10004) = 100009988

Least Common Multiple (LCM) of 9997 and 10004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9997 and 10004. First we will calculate the prime factors of 9997 and 10004.

Prime Factorization of 9997

Prime Factorization of 10004

Now multiplying the highest exponent prime factors to calculate the LCM of 9997 and 10004.

LCM(9997,10004) = 13¹ × 769¹ × 2² × 41¹ × 61¹
LCM(9997,10004) = 100009988