What is the Least Common Multiple of 82221 and 82239?

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 82221 and 82239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82221 and 82239, than apply into the LCM equation.

GCF(82221,82239) = 3
LCM(82221,82239) = ( 82221 × 82239) / 3
LCM(82221,82239) = 6761772819 / 3
LCM(82221,82239) = 2253924273

Least Common Multiple (LCM) of 82221 and 82239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82221 and 82239. First we will calculate the prime factors of 82221 and 82239.

Prime Factorization of 82221

Prime Factorization of 82239

Now multiplying the highest exponent prime factors to calculate the LCM of 82221 and 82239.

LCM(82221,82239) = 3¹ × 27407¹ × 79¹ × 347¹
LCM(82221,82239) = 2253924273