What is the Least Common Multiple of 82275 and 82282?

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 82275 and 82282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82275 and 82282, than apply into the LCM equation.

GCF(82275,82282) = 1
LCM(82275,82282) = ( 82275 × 82282) / 1
LCM(82275,82282) = 6769751550 / 1
LCM(82275,82282) = 6769751550

Least Common Multiple (LCM) of 82275 and 82282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82275 and 82282. First we will calculate the prime factors of 82275 and 82282.

Prime Factorization of 82275

Prime Factorization of 82282

Now multiplying the highest exponent prime factors to calculate the LCM of 82275 and 82282.

LCM(82275,82282) = 3¹ × 5² × 1097¹ × 2¹ × 41141¹
LCM(82275,82282) = 6769751550