What is the Least Common Multiple of 80230 and 80249?

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 80230 and 80249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80230 and 80249, than apply into the LCM equation.

GCF(80230,80249) = 1
LCM(80230,80249) = ( 80230 × 80249) / 1
LCM(80230,80249) = 6438377270 / 1
LCM(80230,80249) = 6438377270

Least Common Multiple (LCM) of 80230 and 80249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80230 and 80249. First we will calculate the prime factors of 80230 and 80249.

Prime Factorization of 80230

Prime Factorization of 80249

Now multiplying the highest exponent prime factors to calculate the LCM of 80230 and 80249.

LCM(80230,80249) = 2¹ × 5¹ × 71¹ × 113¹ × 13¹ × 6173¹
LCM(80230,80249) = 6438377270