What is the Least Common Multiple of 80328 and 80343?

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 80328 and 80343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80328 and 80343, than apply into the LCM equation.

GCF(80328,80343) = 3
LCM(80328,80343) = ( 80328 × 80343) / 3
LCM(80328,80343) = 6453792504 / 3
LCM(80328,80343) = 2151264168

Least Common Multiple (LCM) of 80328 and 80343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80328 and 80343. First we will calculate the prime factors of 80328 and 80343.

Prime Factorization of 80328

Prime Factorization of 80343

Now multiplying the highest exponent prime factors to calculate the LCM of 80328 and 80343.

LCM(80328,80343) = 2³ × 3² × 3347¹ × 79¹ × 113¹
LCM(80328,80343) = 2151264168