What is the Least Common Multiple of 15985 and 15996?

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 15985 and 15996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15985 and 15996, than apply into the LCM equation.

GCF(15985,15996) = 1
LCM(15985,15996) = ( 15985 × 15996) / 1
LCM(15985,15996) = 255696060 / 1
LCM(15985,15996) = 255696060

Least Common Multiple (LCM) of 15985 and 15996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15985 and 15996. First we will calculate the prime factors of 15985 and 15996.

Prime Factorization of 15985

Prime Factorization of 15996

Now multiplying the highest exponent prime factors to calculate the LCM of 15985 and 15996.

LCM(15985,15996) = 5¹ × 23¹ × 139¹ × 2² × 3¹ × 31¹ × 43¹
LCM(15985,15996) = 255696060