What is the Least Common Multiple of 82896 and 82912?

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 82896 and 82912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82896 and 82912, than apply into the LCM equation.

GCF(82896,82912) = 16
LCM(82896,82912) = ( 82896 × 82912) / 16
LCM(82896,82912) = 6873073152 / 16
LCM(82896,82912) = 429567072

Least Common Multiple (LCM) of 82896 and 82912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82896 and 82912. First we will calculate the prime factors of 82896 and 82912.

Prime Factorization of 82896

Prime Factorization of 82912

Now multiplying the highest exponent prime factors to calculate the LCM of 82896 and 82912.

LCM(82896,82912) = 2⁵ × 3¹ × 11¹ × 157¹ × 2591¹
LCM(82896,82912) = 429567072