What is the Least Common Multiple of 32336 and 32342?

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 32336 and 32342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32336 and 32342, than apply into the LCM equation.

GCF(32336,32342) = 2
LCM(32336,32342) = ( 32336 × 32342) / 2
LCM(32336,32342) = 1045810912 / 2
LCM(32336,32342) = 522905456

Least Common Multiple (LCM) of 32336 and 32342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32336 and 32342. First we will calculate the prime factors of 32336 and 32342.

Prime Factorization of 32336

Prime Factorization of 32342

Now multiplying the highest exponent prime factors to calculate the LCM of 32336 and 32342.

LCM(32336,32342) = 2⁴ × 43¹ × 47¹ × 103¹ × 157¹
LCM(32336,32342) = 522905456