What is the Least Common Multiple of 82268 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 82268 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 82268 and 82280, than apply into the LCM equation.

GCF(82268,82280) = 4
LCM(82268,82280) = ( 82268 × 82280) / 4
LCM(82268,82280) = 6769011040 / 4
LCM(82268,82280) = 1692252760

Least Common Multiple (LCM) of 82268 and 82280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82268 and 82280. First we will calculate the prime factors of 82268 and 82280.

Prime Factorization of 82268

Prime Factorization of 82280

Now multiplying the highest exponent prime factors to calculate the LCM of 82268 and 82280.

LCM(82268,82280) = 2³ × 131¹ × 157¹ × 5¹ × 11² × 17¹
LCM(82268,82280) = 1692252760