What is the Least Common Multiple of 11140 and 11160?

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 11140 and 11160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11140 and 11160, than apply into the LCM equation.

GCF(11140,11160) = 20
LCM(11140,11160) = ( 11140 × 11160) / 20
LCM(11140,11160) = 124322400 / 20
LCM(11140,11160) = 6216120

Least Common Multiple (LCM) of 11140 and 11160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11140 and 11160. First we will calculate the prime factors of 11140 and 11160.

Prime Factorization of 11140

Prime Factorization of 11160

Now multiplying the highest exponent prime factors to calculate the LCM of 11140 and 11160.

LCM(11140,11160) = 2³ × 5¹ × 557¹ × 3² × 31¹
LCM(11140,11160) = 6216120