What is the Least Common Multiple of 12546 and 12563?

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 12546 and 12563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12546 and 12563, than apply into the LCM equation.

GCF(12546,12563) = 17
LCM(12546,12563) = ( 12546 × 12563) / 17
LCM(12546,12563) = 157615398 / 17
LCM(12546,12563) = 9271494

Least Common Multiple (LCM) of 12546 and 12563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12546 and 12563. First we will calculate the prime factors of 12546 and 12563.

Prime Factorization of 12546

Prime Factorization of 12563

Now multiplying the highest exponent prime factors to calculate the LCM of 12546 and 12563.

LCM(12546,12563) = 2¹ × 3² × 17¹ × 41¹ × 739¹
LCM(12546,12563) = 9271494