What is the Least Common Multiple of 16065 and 16080?

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 16080 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 16080, than apply into the LCM equation.

GCF(16065,16080) = 15
LCM(16065,16080) = ( 16065 × 16080) / 15
LCM(16065,16080) = 258325200 / 15
LCM(16065,16080) = 17221680

Least Common Multiple (LCM) of 16065 and 16080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16065 and 16080. First we will calculate the prime factors of 16065 and 16080.

Prime Factorization of 16065

Prime Factorization of 16080

Now multiplying the highest exponent prime factors to calculate the LCM of 16065 and 16080.

LCM(16065,16080) = 3³ × 5¹ × 7¹ × 17¹ × 2⁴ × 67¹
LCM(16065,16080) = 17221680