What is the Least Common Multiple of 12529 and 12546?

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 12529 and 12546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12529 and 12546, than apply into the LCM equation.

GCF(12529,12546) = 17
LCM(12529,12546) = ( 12529 × 12546) / 17
LCM(12529,12546) = 157188834 / 17
LCM(12529,12546) = 9246402

Least Common Multiple (LCM) of 12529 and 12546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12529 and 12546. First we will calculate the prime factors of 12529 and 12546.

Prime Factorization of 12529

Prime Factorization of 12546

Now multiplying the highest exponent prime factors to calculate the LCM of 12529 and 12546.

LCM(12529,12546) = 11¹ × 17¹ × 67¹ × 2¹ × 3² × 41¹
LCM(12529,12546) = 9246402