What is the Least Common Multiple of 64269 and 64275?

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 64275 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 64275, than apply into the LCM equation.

GCF(64269,64275) = 3
LCM(64269,64275) = ( 64269 × 64275) / 3
LCM(64269,64275) = 4130889975 / 3
LCM(64269,64275) = 1376963325

Least Common Multiple (LCM) of 64269 and 64275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64269 and 64275. First we will calculate the prime factors of 64269 and 64275.

Prime Factorization of 64269

Prime Factorization of 64275

Now multiplying the highest exponent prime factors to calculate the LCM of 64269 and 64275.

LCM(64269,64275) = 3² × 37¹ × 193¹ × 5² × 857¹
LCM(64269,64275) = 1376963325