What is the Least Common Multiple of 32864 and 32869?

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 32869 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 32869, than apply into the LCM equation.

GCF(32864,32869) = 1
LCM(32864,32869) = ( 32864 × 32869) / 1
LCM(32864,32869) = 1080206816 / 1
LCM(32864,32869) = 1080206816

Least Common Multiple (LCM) of 32864 and 32869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32864 and 32869. First we will calculate the prime factors of 32864 and 32869.

Prime Factorization of 32864

Prime Factorization of 32869

Now multiplying the highest exponent prime factors to calculate the LCM of 32864 and 32869.

LCM(32864,32869) = 2⁵ × 13¹ × 79¹ × 32869¹
LCM(32864,32869) = 1080206816