What is the Least Common Multiple of 12538 and 12556?

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 12556 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 12556, than apply into the LCM equation.

GCF(12538,12556) = 2
LCM(12538,12556) = ( 12538 × 12556) / 2
LCM(12538,12556) = 157427128 / 2
LCM(12538,12556) = 78713564

Least Common Multiple (LCM) of 12538 and 12556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12538 and 12556. First we will calculate the prime factors of 12538 and 12556.

Prime Factorization of 12538

Prime Factorization of 12556

Now multiplying the highest exponent prime factors to calculate the LCM of 12538 and 12556.

LCM(12538,12556) = 2² × 6269¹ × 43¹ × 73¹
LCM(12538,12556) = 78713564