What is the Least Common Multiple of 12585 and 12592?

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 12585 and 12592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12585 and 12592, than apply into the LCM equation.

GCF(12585,12592) = 1
LCM(12585,12592) = ( 12585 × 12592) / 1
LCM(12585,12592) = 158470320 / 1
LCM(12585,12592) = 158470320

Least Common Multiple (LCM) of 12585 and 12592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12585 and 12592. First we will calculate the prime factors of 12585 and 12592.

Prime Factorization of 12585

Prime Factorization of 12592

Now multiplying the highest exponent prime factors to calculate the LCM of 12585 and 12592.

LCM(12585,12592) = 3¹ × 5¹ × 839¹ × 2⁴ × 787¹
LCM(12585,12592) = 158470320