What is the Least Common Multiple of 18160 and 18170?

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 18160 and 18170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18160 and 18170, than apply into the LCM equation.

GCF(18160,18170) = 10
LCM(18160,18170) = ( 18160 × 18170) / 10
LCM(18160,18170) = 329967200 / 10
LCM(18160,18170) = 32996720

Least Common Multiple (LCM) of 18160 and 18170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18160 and 18170. First we will calculate the prime factors of 18160 and 18170.

Prime Factorization of 18160

Prime Factorization of 18170

Now multiplying the highest exponent prime factors to calculate the LCM of 18160 and 18170.

LCM(18160,18170) = 2⁴ × 5¹ × 227¹ × 23¹ × 79¹
LCM(18160,18170) = 32996720