What is the Least Common Multiple of 16065 and 16082?

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 16065 and 16082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16065 and 16082, than apply into the LCM equation.

GCF(16065,16082) = 17
LCM(16065,16082) = ( 16065 × 16082) / 17
LCM(16065,16082) = 258357330 / 17
LCM(16065,16082) = 15197490

Least Common Multiple (LCM) of 16065 and 16082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16065 and 16082. First we will calculate the prime factors of 16065 and 16082.

Prime Factorization of 16065

Prime Factorization of 16082

Now multiplying the highest exponent prime factors to calculate the LCM of 16065 and 16082.

LCM(16065,16082) = 3³ × 5¹ × 7¹ × 17¹ × 2¹ × 11¹ × 43¹
LCM(16065,16082) = 15197490