What is the Least Common Multiple of 32800 and 32812?

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 32800 and 32812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32800 and 32812, than apply into the LCM equation.

GCF(32800,32812) = 4
LCM(32800,32812) = ( 32800 × 32812) / 4
LCM(32800,32812) = 1076233600 / 4
LCM(32800,32812) = 269058400

Least Common Multiple (LCM) of 32800 and 32812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32800 and 32812. First we will calculate the prime factors of 32800 and 32812.

Prime Factorization of 32800

Prime Factorization of 32812

Now multiplying the highest exponent prime factors to calculate the LCM of 32800 and 32812.

LCM(32800,32812) = 2⁵ × 5² × 41¹ × 13¹ × 631¹
LCM(32800,32812) = 269058400