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What is the Least Common Multiple of 64243 and 64256?

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 (LCM) of 64243 and 64256 is 4127998208.

LCM(64243,64256) = 4127998208

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Least Common Multiple of 64243 and 64256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64243 and 64256, than apply into the LCM equation.

GCF(64243,64256) = 1
LCM(64243,64256) = ( 64243 × 64256) / 1
LCM(64243,64256) = 4127998208 / 1
LCM(64243,64256) = 4127998208

Least Common Multiple (LCM) of 64243 and 64256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64243 and 64256. First we will calculate the prime factors of 64243 and 64256.

Prime Factorization of 64243

Prime factors of 64243 are 17, 3779. Prime factorization of 64243 in exponential form is:

64243 = 171 × 37791

Prime Factorization of 64256

Prime factors of 64256 are 2, 251. Prime factorization of 64256 in exponential form is:

64256 = 28 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 64243 and 64256.

LCM(64243,64256) = 171 × 37791 × 28 × 2511
LCM(64243,64256) = 4127998208