What is the Least Common Multiple of 18080 and 18085?

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 18080 and 18085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18080 and 18085, than apply into the LCM equation.

GCF(18080,18085) = 5
LCM(18080,18085) = ( 18080 × 18085) / 5
LCM(18080,18085) = 326976800 / 5
LCM(18080,18085) = 65395360

Least Common Multiple (LCM) of 18080 and 18085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18080 and 18085. First we will calculate the prime factors of 18080 and 18085.

Prime Factorization of 18080

Prime Factorization of 18085

Now multiplying the highest exponent prime factors to calculate the LCM of 18080 and 18085.

LCM(18080,18085) = 2⁵ × 5¹ × 113¹ × 3617¹
LCM(18080,18085) = 65395360