What is the Least Common Multiple of 12543 and 12548?

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 12543 and 12548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12543 and 12548, than apply into the LCM equation.

GCF(12543,12548) = 1
LCM(12543,12548) = ( 12543 × 12548) / 1
LCM(12543,12548) = 157389564 / 1
LCM(12543,12548) = 157389564

Least Common Multiple (LCM) of 12543 and 12548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12543 and 12548. First we will calculate the prime factors of 12543 and 12548.

Prime Factorization of 12543

Prime Factorization of 12548

Now multiplying the highest exponent prime factors to calculate the LCM of 12543 and 12548.

LCM(12543,12548) = 3¹ × 37¹ × 113¹ × 2² × 3137¹
LCM(12543,12548) = 157389564