What is the Least Common Multiple of 80269 and 80281?

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 80269 and 80281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80269 and 80281, than apply into the LCM equation.

GCF(80269,80281) = 1
LCM(80269,80281) = ( 80269 × 80281) / 1
LCM(80269,80281) = 6444075589 / 1
LCM(80269,80281) = 6444075589

Least Common Multiple (LCM) of 80269 and 80281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80269 and 80281. First we will calculate the prime factors of 80269 and 80281.

Prime Factorization of 80269

Prime Factorization of 80281

Now multiplying the highest exponent prime factors to calculate the LCM of 80269 and 80281.

LCM(80269,80281) = 7¹ × 11467¹ × 43¹ × 1867¹
LCM(80269,80281) = 6444075589