What is the Least Common Multiple of 32236 and 32254?

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 32254 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 32254, than apply into the LCM equation.

GCF(32236,32254) = 2
LCM(32236,32254) = ( 32236 × 32254) / 2
LCM(32236,32254) = 1039739944 / 2
LCM(32236,32254) = 519869972

Least Common Multiple (LCM) of 32236 and 32254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32236 and 32254. First we will calculate the prime factors of 32236 and 32254.

Prime Factorization of 32236

Prime Factorization of 32254

Now multiplying the highest exponent prime factors to calculate the LCM of 32236 and 32254.

LCM(32236,32254) = 2² × 8059¹ × 16127¹
LCM(32236,32254) = 519869972