What is the Least Common Multiple of 32872 and 32882?

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 32872 and 32882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32872 and 32882, than apply into the LCM equation.

GCF(32872,32882) = 2
LCM(32872,32882) = ( 32872 × 32882) / 2
LCM(32872,32882) = 1080897104 / 2
LCM(32872,32882) = 540448552

Least Common Multiple (LCM) of 32872 and 32882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32872 and 32882. First we will calculate the prime factors of 32872 and 32882.

Prime Factorization of 32872

Prime Factorization of 32882

Now multiplying the highest exponent prime factors to calculate the LCM of 32872 and 32882.

LCM(32872,32882) = 2³ × 7¹ × 587¹ × 41¹ × 401¹
LCM(32872,32882) = 540448552