What is the Least Common Multiple of 8269 and 8280?

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 8269 and 8280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8269 and 8280, than apply into the LCM equation.

GCF(8269,8280) = 1
LCM(8269,8280) = ( 8269 × 8280) / 1
LCM(8269,8280) = 68467320 / 1
LCM(8269,8280) = 68467320

Least Common Multiple (LCM) of 8269 and 8280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8269 and 8280. First we will calculate the prime factors of 8269 and 8280.

Prime Factorization of 8269

Prime Factorization of 8280

Now multiplying the highest exponent prime factors to calculate the LCM of 8269 and 8280.

LCM(8269,8280) = 8269¹ × 2³ × 3² × 5¹ × 23¹
LCM(8269,8280) = 68467320