What is the Least Common Multiple of 80328 and 80346?

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 80346 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 80346, than apply into the LCM equation.

GCF(80328,80346) = 6
LCM(80328,80346) = ( 80328 × 80346) / 6
LCM(80328,80346) = 6454033488 / 6
LCM(80328,80346) = 1075672248

Least Common Multiple (LCM) of 80328 and 80346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80328 and 80346. First we will calculate the prime factors of 80328 and 80346.

Prime Factorization of 80328

Prime Factorization of 80346

Now multiplying the highest exponent prime factors to calculate the LCM of 80328 and 80346.

LCM(80328,80346) = 2³ × 3¹ × 3347¹ × 7¹ × 1913¹
LCM(80328,80346) = 1075672248