What is the Least Common Multiple of 32240 and 32249?

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 32240 and 32249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32240 and 32249, than apply into the LCM equation.

GCF(32240,32249) = 1
LCM(32240,32249) = ( 32240 × 32249) / 1
LCM(32240,32249) = 1039707760 / 1
LCM(32240,32249) = 1039707760

Least Common Multiple (LCM) of 32240 and 32249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32240 and 32249. First we will calculate the prime factors of 32240 and 32249.

Prime Factorization of 32240

Prime Factorization of 32249

Now multiplying the highest exponent prime factors to calculate the LCM of 32240 and 32249.

LCM(32240,32249) = 2⁴ × 5¹ × 13¹ × 31¹ × 7¹ × 17¹ × 271¹
LCM(32240,32249) = 1039707760