What is the Least Common Multiple of 32872 and 32884?

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 32884 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 32884, than apply into the LCM equation.

GCF(32872,32884) = 4
LCM(32872,32884) = ( 32872 × 32884) / 4
LCM(32872,32884) = 1080962848 / 4
LCM(32872,32884) = 270240712

Least Common Multiple (LCM) of 32872 and 32884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32872 and 32884. First we will calculate the prime factors of 32872 and 32884.

Prime Factorization of 32872

Prime Factorization of 32884

Now multiplying the highest exponent prime factors to calculate the LCM of 32872 and 32884.

LCM(32872,32884) = 2³ × 7¹ × 587¹ × 8221¹
LCM(32872,32884) = 270240712