What is the Least Common Multiple of 32236 and 32256?

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 32236 and 32256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32236 and 32256, than apply into the LCM equation.

GCF(32236,32256) = 4
LCM(32236,32256) = ( 32236 × 32256) / 4
LCM(32236,32256) = 1039804416 / 4
LCM(32236,32256) = 259951104

Least Common Multiple (LCM) of 32236 and 32256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32236 and 32256. First we will calculate the prime factors of 32236 and 32256.

Prime Factorization of 32236

Prime Factorization of 32256

Now multiplying the highest exponent prime factors to calculate the LCM of 32236 and 32256.

LCM(32236,32256) = 2⁹ × 8059¹ × 3² × 7¹
LCM(32236,32256) = 259951104