What is the Least Common Multiple of 81328 and 81343?

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 81343 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 81343, than apply into the LCM equation.

GCF(81328,81343) = 1
LCM(81328,81343) = ( 81328 × 81343) / 1
LCM(81328,81343) = 6615463504 / 1
LCM(81328,81343) = 6615463504

Least Common Multiple (LCM) of 81328 and 81343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81328 and 81343. First we will calculate the prime factors of 81328 and 81343.

Prime Factorization of 81328

Prime Factorization of 81343

Now multiplying the highest exponent prime factors to calculate the LCM of 81328 and 81343.

LCM(81328,81343) = 2⁴ × 13¹ × 17¹ × 23¹ × 81343¹
LCM(81328,81343) = 6615463504