What is the Least Common Multiple of 15996 and 16005?

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 15996 and 16005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15996 and 16005, than apply into the LCM equation.

GCF(15996,16005) = 3
LCM(15996,16005) = ( 15996 × 16005) / 3
LCM(15996,16005) = 256015980 / 3
LCM(15996,16005) = 85338660

Least Common Multiple (LCM) of 15996 and 16005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15996 and 16005. First we will calculate the prime factors of 15996 and 16005.

Prime Factorization of 15996

Prime Factorization of 16005

Now multiplying the highest exponent prime factors to calculate the LCM of 15996 and 16005.

LCM(15996,16005) = 2² × 3¹ × 31¹ × 43¹ × 5¹ × 11¹ × 97¹
LCM(15996,16005) = 85338660