What is the Least Common Multiple of 32249 and 32257?

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 32249 and 32257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32249 and 32257, than apply into the LCM equation.

GCF(32249,32257) = 1
LCM(32249,32257) = ( 32249 × 32257) / 1
LCM(32249,32257) = 1040255993 / 1
LCM(32249,32257) = 1040255993

Least Common Multiple (LCM) of 32249 and 32257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32249 and 32257. First we will calculate the prime factors of 32249 and 32257.

Prime Factorization of 32249

Prime Factorization of 32257

Now multiplying the highest exponent prime factors to calculate the LCM of 32249 and 32257.

LCM(32249,32257) = 7¹ × 17¹ × 271¹ × 32257¹
LCM(32249,32257) = 1040255993