What is the Least Common Multiple of 12589 and 12608?

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 12589 and 12608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12589 and 12608, than apply into the LCM equation.

GCF(12589,12608) = 1
LCM(12589,12608) = ( 12589 × 12608) / 1
LCM(12589,12608) = 158722112 / 1
LCM(12589,12608) = 158722112

Least Common Multiple (LCM) of 12589 and 12608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12589 and 12608. First we will calculate the prime factors of 12589 and 12608.

Prime Factorization of 12589

Prime Factorization of 12608

Now multiplying the highest exponent prime factors to calculate the LCM of 12589 and 12608.

LCM(12589,12608) = 12589¹ × 2⁶ × 197¹
LCM(12589,12608) = 158722112