What is the Least Common Multiple of 32296 and 32308?

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 32296 and 32308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32296 and 32308, than apply into the LCM equation.

GCF(32296,32308) = 4
LCM(32296,32308) = ( 32296 × 32308) / 4
LCM(32296,32308) = 1043419168 / 4
LCM(32296,32308) = 260854792

Least Common Multiple (LCM) of 32296 and 32308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32296 and 32308. First we will calculate the prime factors of 32296 and 32308.

Prime Factorization of 32296

Prime Factorization of 32308

Now multiplying the highest exponent prime factors to calculate the LCM of 32296 and 32308.

LCM(32296,32308) = 2³ × 11¹ × 367¹ × 41¹ × 197¹
LCM(32296,32308) = 260854792