What is the Least Common Multiple of 11160 and 11170?

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 11160 and 11170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11160 and 11170, than apply into the LCM equation.

GCF(11160,11170) = 10
LCM(11160,11170) = ( 11160 × 11170) / 10
LCM(11160,11170) = 124657200 / 10
LCM(11160,11170) = 12465720

Least Common Multiple (LCM) of 11160 and 11170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11160 and 11170. First we will calculate the prime factors of 11160 and 11170.

Prime Factorization of 11160

Prime Factorization of 11170

Now multiplying the highest exponent prime factors to calculate the LCM of 11160 and 11170.

LCM(11160,11170) = 2³ × 3² × 5¹ × 31¹ × 1117¹
LCM(11160,11170) = 12465720