What is the Least Common Multiple of 32531 and 32549?

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 32531 and 32549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32531 and 32549, than apply into the LCM equation.

GCF(32531,32549) = 1
LCM(32531,32549) = ( 32531 × 32549) / 1
LCM(32531,32549) = 1058851519 / 1
LCM(32531,32549) = 1058851519

Least Common Multiple (LCM) of 32531 and 32549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32531 and 32549. First we will calculate the prime factors of 32531 and 32549.

Prime Factorization of 32531

Prime Factorization of 32549

Now multiplying the highest exponent prime factors to calculate the LCM of 32531 and 32549.

LCM(32531,32549) = 32531¹ × 11² × 269¹
LCM(32531,32549) = 1058851519