What is the Least Common Multiple of 16080 and 16085?

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 16080 and 16085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16080 and 16085, than apply into the LCM equation.

GCF(16080,16085) = 5
LCM(16080,16085) = ( 16080 × 16085) / 5
LCM(16080,16085) = 258646800 / 5
LCM(16080,16085) = 51729360

Least Common Multiple (LCM) of 16080 and 16085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16080 and 16085. First we will calculate the prime factors of 16080 and 16085.

Prime Factorization of 16080

Prime Factorization of 16085

Now multiplying the highest exponent prime factors to calculate the LCM of 16080 and 16085.

LCM(16080,16085) = 2⁴ × 3¹ × 5¹ × 67¹ × 3217¹
LCM(16080,16085) = 51729360