What is the Least Common Multiple of 12546 and 12560?

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 12560 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 12560, than apply into the LCM equation.

GCF(12546,12560) = 2
LCM(12546,12560) = ( 12546 × 12560) / 2
LCM(12546,12560) = 157577760 / 2
LCM(12546,12560) = 78788880

Least Common Multiple (LCM) of 12546 and 12560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12546 and 12560. First we will calculate the prime factors of 12546 and 12560.

Prime Factorization of 12546

Prime Factorization of 12560

Now multiplying the highest exponent prime factors to calculate the LCM of 12546 and 12560.

LCM(12546,12560) = 2⁴ × 3² × 17¹ × 41¹ × 5¹ × 157¹
LCM(12546,12560) = 78788880