What is the Least Common Multiple of 65205 and 65223?

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 65205 and 65223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65205 and 65223, than apply into the LCM equation.

GCF(65205,65223) = 9
LCM(65205,65223) = ( 65205 × 65223) / 9
LCM(65205,65223) = 4252865715 / 9
LCM(65205,65223) = 472540635

Least Common Multiple (LCM) of 65205 and 65223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65205 and 65223. First we will calculate the prime factors of 65205 and 65223.

Prime Factorization of 65205

Prime Factorization of 65223

Now multiplying the highest exponent prime factors to calculate the LCM of 65205 and 65223.

LCM(65205,65223) = 3⁴ × 5¹ × 7¹ × 23¹ × 7247¹
LCM(65205,65223) = 472540635