What is the Least Common Multiple of 11592 and 11610?

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 11592 and 11610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11592 and 11610, than apply into the LCM equation.

GCF(11592,11610) = 18
LCM(11592,11610) = ( 11592 × 11610) / 18
LCM(11592,11610) = 134583120 / 18
LCM(11592,11610) = 7476840

Least Common Multiple (LCM) of 11592 and 11610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11592 and 11610. First we will calculate the prime factors of 11592 and 11610.

Prime Factorization of 11592

Prime Factorization of 11610

Now multiplying the highest exponent prime factors to calculate the LCM of 11592 and 11610.

LCM(11592,11610) = 2³ × 3³ × 7¹ × 23¹ × 5¹ × 43¹
LCM(11592,11610) = 7476840