What is the Least Common Multiple of 17996 and 18007?

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 17996 and 18007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17996 and 18007, than apply into the LCM equation.

GCF(17996,18007) = 11
LCM(17996,18007) = ( 17996 × 18007) / 11
LCM(17996,18007) = 324053972 / 11
LCM(17996,18007) = 29459452

Least Common Multiple (LCM) of 17996 and 18007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17996 and 18007. First we will calculate the prime factors of 17996 and 18007.

Prime Factorization of 17996

Prime Factorization of 18007

Now multiplying the highest exponent prime factors to calculate the LCM of 17996 and 18007.

LCM(17996,18007) = 2² × 11¹ × 409¹ × 1637¹
LCM(17996,18007) = 29459452