What is the Least Common Multiple of 17996 and 18016?

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 18016 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 18016, than apply into the LCM equation.

GCF(17996,18016) = 4
LCM(17996,18016) = ( 17996 × 18016) / 4
LCM(17996,18016) = 324215936 / 4
LCM(17996,18016) = 81053984

Least Common Multiple (LCM) of 17996 and 18016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17996 and 18016. First we will calculate the prime factors of 17996 and 18016.

Prime Factorization of 17996

Prime Factorization of 18016

Now multiplying the highest exponent prime factors to calculate the LCM of 17996 and 18016.

LCM(17996,18016) = 2⁵ × 11¹ × 409¹ × 563¹
LCM(17996,18016) = 81053984