What is the Least Common Multiple of 82688 and 82708?

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 82688 and 82708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82688 and 82708, than apply into the LCM equation.

GCF(82688,82708) = 4
LCM(82688,82708) = ( 82688 × 82708) / 4
LCM(82688,82708) = 6838959104 / 4
LCM(82688,82708) = 1709739776

Least Common Multiple (LCM) of 82688 and 82708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82688 and 82708. First we will calculate the prime factors of 82688 and 82708.

Prime Factorization of 82688

Prime Factorization of 82708

Now multiplying the highest exponent prime factors to calculate the LCM of 82688 and 82708.

LCM(82688,82708) = 2⁸ × 17¹ × 19¹ × 23¹ × 29¹ × 31¹
LCM(82688,82708) = 1709739776