What is the Least Common Multiple of 8205 and 8223?

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 8205 and 8223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8205 and 8223, than apply into the LCM equation.

GCF(8205,8223) = 3
LCM(8205,8223) = ( 8205 × 8223) / 3
LCM(8205,8223) = 67469715 / 3
LCM(8205,8223) = 22489905

Least Common Multiple (LCM) of 8205 and 8223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8205 and 8223. First we will calculate the prime factors of 8205 and 8223.

Prime Factorization of 8205

Prime Factorization of 8223

Now multiplying the highest exponent prime factors to calculate the LCM of 8205 and 8223.

LCM(8205,8223) = 3¹ × 5¹ × 547¹ × 2741¹
LCM(8205,8223) = 22489905