What is the Least Common Multiple of 64269 and 64273?

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 64269 and 64273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64269 and 64273, than apply into the LCM equation.

GCF(64269,64273) = 1
LCM(64269,64273) = ( 64269 × 64273) / 1
LCM(64269,64273) = 4130761437 / 1
LCM(64269,64273) = 4130761437

Least Common Multiple (LCM) of 64269 and 64273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64269 and 64273. First we will calculate the prime factors of 64269 and 64273.

Prime Factorization of 64269

Prime Factorization of 64273

Now multiplying the highest exponent prime factors to calculate the LCM of 64269 and 64273.

LCM(64269,64273) = 3² × 37¹ × 193¹ × 11¹ × 5843¹
LCM(64269,64273) = 4130761437