What is the Least Common Multiple of 82864 and 82878?

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 82878 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 82878, than apply into the LCM equation.

GCF(82864,82878) = 2
LCM(82864,82878) = ( 82864 × 82878) / 2
LCM(82864,82878) = 6867602592 / 2
LCM(82864,82878) = 3433801296

Least Common Multiple (LCM) of 82864 and 82878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82864 and 82878. First we will calculate the prime factors of 82864 and 82878.

Prime Factorization of 82864

Prime Factorization of 82878

Now multiplying the highest exponent prime factors to calculate the LCM of 82864 and 82878.

LCM(82864,82878) = 2⁴ × 5179¹ × 3¹ × 19¹ × 727¹
LCM(82864,82878) = 3433801296