What is the Least Common Multiple of 12538 and 12543?

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 12538 and 12543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12538 and 12543, than apply into the LCM equation.

GCF(12538,12543) = 1
LCM(12538,12543) = ( 12538 × 12543) / 1
LCM(12538,12543) = 157264134 / 1
LCM(12538,12543) = 157264134

Least Common Multiple (LCM) of 12538 and 12543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12538 and 12543. First we will calculate the prime factors of 12538 and 12543.

Prime Factorization of 12538

Prime Factorization of 12543

Now multiplying the highest exponent prime factors to calculate the LCM of 12538 and 12543.

LCM(12538,12543) = 2¹ × 6269¹ × 3¹ × 37¹ × 113¹
LCM(12538,12543) = 157264134