What is the Least Common Multiple of 82245 and 82258?

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 82245 and 82258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82245 and 82258, than apply into the LCM equation.

GCF(82245,82258) = 1
LCM(82245,82258) = ( 82245 × 82258) / 1
LCM(82245,82258) = 6765309210 / 1
LCM(82245,82258) = 6765309210

Least Common Multiple (LCM) of 82245 and 82258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82245 and 82258. First we will calculate the prime factors of 82245 and 82258.

Prime Factorization of 82245

Prime Factorization of 82258

Now multiplying the highest exponent prime factors to calculate the LCM of 82245 and 82258.

LCM(82245,82258) = 3¹ × 5¹ × 5483¹ × 2¹ × 11¹ × 3739¹
LCM(82245,82258) = 6765309210