What is the Least Common Multiple of 82270 and 82280?

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 82270 and 82280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82270 and 82280, than apply into the LCM equation.

GCF(82270,82280) = 10
LCM(82270,82280) = ( 82270 × 82280) / 10
LCM(82270,82280) = 6769175600 / 10
LCM(82270,82280) = 676917560

Least Common Multiple (LCM) of 82270 and 82280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82270 and 82280. First we will calculate the prime factors of 82270 and 82280.

Prime Factorization of 82270

Prime Factorization of 82280

Now multiplying the highest exponent prime factors to calculate the LCM of 82270 and 82280.

LCM(82270,82280) = 2³ × 5¹ × 19¹ × 433¹ × 11² × 17¹
LCM(82270,82280) = 676917560