What is the Least Common Multiple of 32284 and 32296?

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 32284 and 32296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32284 and 32296, than apply into the LCM equation.

GCF(32284,32296) = 4
LCM(32284,32296) = ( 32284 × 32296) / 4
LCM(32284,32296) = 1042644064 / 4
LCM(32284,32296) = 260661016

Least Common Multiple (LCM) of 32284 and 32296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32284 and 32296. First we will calculate the prime factors of 32284 and 32296.

Prime Factorization of 32284

Prime Factorization of 32296

Now multiplying the highest exponent prime factors to calculate the LCM of 32284 and 32296.

LCM(32284,32296) = 2³ × 7¹ × 1153¹ × 11¹ × 367¹
LCM(32284,32296) = 260661016