What is the Least Common Multiple of 15998 and 16016?

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 15998 and 16016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15998 and 16016, than apply into the LCM equation.

GCF(15998,16016) = 2
LCM(15998,16016) = ( 15998 × 16016) / 2
LCM(15998,16016) = 256223968 / 2
LCM(15998,16016) = 128111984

Least Common Multiple (LCM) of 15998 and 16016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15998 and 16016. First we will calculate the prime factors of 15998 and 16016.

Prime Factorization of 15998

Prime Factorization of 16016

Now multiplying the highest exponent prime factors to calculate the LCM of 15998 and 16016.

LCM(15998,16016) = 2⁴ × 19¹ × 421¹ × 7¹ × 11¹ × 13¹
LCM(15998,16016) = 128111984