What is the Least Common Multiple of 82864 and 82874?

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 82874 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 82874, than apply into the LCM equation.

GCF(82864,82874) = 2
LCM(82864,82874) = ( 82864 × 82874) / 2
LCM(82864,82874) = 6867271136 / 2
LCM(82864,82874) = 3433635568

Least Common Multiple (LCM) of 82864 and 82874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82864 and 82874. First we will calculate the prime factors of 82864 and 82874.

Prime Factorization of 82864

Prime Factorization of 82874

Now multiplying the highest exponent prime factors to calculate the LCM of 82864 and 82874.

LCM(82864,82874) = 2⁴ × 5179¹ × 11¹ × 3767¹
LCM(82864,82874) = 3433635568