What is the Least Common Multiple of 80305 and 80321?

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 80305 and 80321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80305 and 80321, than apply into the LCM equation.

GCF(80305,80321) = 1
LCM(80305,80321) = ( 80305 × 80321) / 1
LCM(80305,80321) = 6450177905 / 1
LCM(80305,80321) = 6450177905

Least Common Multiple (LCM) of 80305 and 80321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80305 and 80321. First we will calculate the prime factors of 80305 and 80321.

Prime Factorization of 80305

Prime Factorization of 80321

Now multiplying the highest exponent prime factors to calculate the LCM of 80305 and 80321.

LCM(80305,80321) = 5¹ × 16061¹ × 31¹ × 2591¹
LCM(80305,80321) = 6450177905