What is the Least Common Multiple of 16065 and 16084?

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 16084 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 16084, than apply into the LCM equation.

GCF(16065,16084) = 1
LCM(16065,16084) = ( 16065 × 16084) / 1
LCM(16065,16084) = 258389460 / 1
LCM(16065,16084) = 258389460

Least Common Multiple (LCM) of 16065 and 16084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16065 and 16084. First we will calculate the prime factors of 16065 and 16084.

Prime Factorization of 16065

Prime Factorization of 16084

Now multiplying the highest exponent prime factors to calculate the LCM of 16065 and 16084.

LCM(16065,16084) = 3³ × 5¹ × 7¹ × 17¹ × 2² × 4021¹
LCM(16065,16084) = 258389460