What is the Least Common Multiple of 81328 and 81340?

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 81328 and 81340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81328 and 81340, than apply into the LCM equation.

GCF(81328,81340) = 4
LCM(81328,81340) = ( 81328 × 81340) / 4
LCM(81328,81340) = 6615219520 / 4
LCM(81328,81340) = 1653804880

Least Common Multiple (LCM) of 81328 and 81340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81328 and 81340. First we will calculate the prime factors of 81328 and 81340.

Prime Factorization of 81328

Prime Factorization of 81340

Now multiplying the highest exponent prime factors to calculate the LCM of 81328 and 81340.

LCM(81328,81340) = 2⁴ × 13¹ × 17¹ × 23¹ × 5¹ × 7² × 83¹
LCM(81328,81340) = 1653804880