What is the Least Common Multiple of 82864 and 82879?

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 82864 and 82879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82864 and 82879, than apply into the LCM equation.

GCF(82864,82879) = 1
LCM(82864,82879) = ( 82864 × 82879) / 1
LCM(82864,82879) = 6867685456 / 1
LCM(82864,82879) = 6867685456

Least Common Multiple (LCM) of 82864 and 82879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82864 and 82879. First we will calculate the prime factors of 82864 and 82879.

Prime Factorization of 82864

Prime Factorization of 82879

Now multiplying the highest exponent prime factors to calculate the LCM of 82864 and 82879.

LCM(82864,82879) = 2⁴ × 5179¹ × 67¹ × 1237¹
LCM(82864,82879) = 6867685456