What is the Least Common Multiple of 11580 and 11590?

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 11580 and 11590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11580 and 11590, than apply into the LCM equation.

GCF(11580,11590) = 10
LCM(11580,11590) = ( 11580 × 11590) / 10
LCM(11580,11590) = 134212200 / 10
LCM(11580,11590) = 13421220

Least Common Multiple (LCM) of 11580 and 11590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11580 and 11590. First we will calculate the prime factors of 11580 and 11590.

Prime Factorization of 11580

Prime Factorization of 11590

Now multiplying the highest exponent prime factors to calculate the LCM of 11580 and 11590.

LCM(11580,11590) = 2² × 3¹ × 5¹ × 193¹ × 19¹ × 61¹
LCM(11580,11590) = 13421220