What is the Least Common Multiple of 32864 and 32868?

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 32864 and 32868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32864 and 32868, than apply into the LCM equation.

GCF(32864,32868) = 4
LCM(32864,32868) = ( 32864 × 32868) / 4
LCM(32864,32868) = 1080173952 / 4
LCM(32864,32868) = 270043488

Least Common Multiple (LCM) of 32864 and 32868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32864 and 32868. First we will calculate the prime factors of 32864 and 32868.

Prime Factorization of 32864

Prime Factorization of 32868

Now multiplying the highest exponent prime factors to calculate the LCM of 32864 and 32868.

LCM(32864,32868) = 2⁵ × 13¹ × 79¹ × 3² × 11¹ × 83¹
LCM(32864,32868) = 270043488