What is the Least Common Multiple of 32296 and 32306?

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 32306 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 32306, than apply into the LCM equation.

GCF(32296,32306) = 2
LCM(32296,32306) = ( 32296 × 32306) / 2
LCM(32296,32306) = 1043354576 / 2
LCM(32296,32306) = 521677288

Least Common Multiple (LCM) of 32296 and 32306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32296 and 32306. First we will calculate the prime factors of 32296 and 32306.

Prime Factorization of 32296

Prime Factorization of 32306

Now multiplying the highest exponent prime factors to calculate the LCM of 32296 and 32306.

LCM(32296,32306) = 2³ × 11¹ × 367¹ × 29¹ × 557¹
LCM(32296,32306) = 521677288