What is the Least Common Multiple of 82864 and 82876?

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 82876 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 82876, than apply into the LCM equation.

GCF(82864,82876) = 4
LCM(82864,82876) = ( 82864 × 82876) / 4
LCM(82864,82876) = 6867436864 / 4
LCM(82864,82876) = 1716859216

Least Common Multiple (LCM) of 82864 and 82876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82864 and 82876. First we will calculate the prime factors of 82864 and 82876.

Prime Factorization of 82864

Prime Factorization of 82876

Now multiplying the highest exponent prime factors to calculate the LCM of 82864 and 82876.

LCM(82864,82876) = 2⁴ × 5179¹ × 20719¹
LCM(82864,82876) = 1716859216