What is the Least Common Multiple of 12538 and 12550?

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 12550 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 12550, than apply into the LCM equation.

GCF(12538,12550) = 2
LCM(12538,12550) = ( 12538 × 12550) / 2
LCM(12538,12550) = 157351900 / 2
LCM(12538,12550) = 78675950

Least Common Multiple (LCM) of 12538 and 12550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12538 and 12550. First we will calculate the prime factors of 12538 and 12550.

Prime Factorization of 12538

Prime Factorization of 12550

Now multiplying the highest exponent prime factors to calculate the LCM of 12538 and 12550.

LCM(12538,12550) = 2¹ × 6269¹ × 5² × 251¹
LCM(12538,12550) = 78675950