What is the Least Common Multiple of 81856 and 81874?

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 81856 and 81874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81856 and 81874, than apply into the LCM equation.

GCF(81856,81874) = 2
LCM(81856,81874) = ( 81856 × 81874) / 2
LCM(81856,81874) = 6701878144 / 2
LCM(81856,81874) = 3350939072

Least Common Multiple (LCM) of 81856 and 81874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81856 and 81874. First we will calculate the prime factors of 81856 and 81874.

Prime Factorization of 81856

Prime Factorization of 81874

Now multiplying the highest exponent prime factors to calculate the LCM of 81856 and 81874.

LCM(81856,81874) = 2⁶ × 1279¹ × 13¹ × 47¹ × 67¹
LCM(81856,81874) = 3350939072