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What is the Least Common Multiple of 64256 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 (LCM) of 64256 and 64275 is 4130054400.

LCM(64256,64275) = 4130054400

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Least Common Multiple of 64256 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 64256 and 64275, than apply into the LCM equation.

GCF(64256,64275) = 1
LCM(64256,64275) = ( 64256 × 64275) / 1
LCM(64256,64275) = 4130054400 / 1
LCM(64256,64275) = 4130054400

Least Common Multiple (LCM) of 64256 and 64275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64256 and 64275. First we will calculate the prime factors of 64256 and 64275.

Prime Factorization of 64256

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

64256 = 28 × 2511

Prime Factorization of 64275

Prime factors of 64275 are 3, 5, 857. Prime factorization of 64275 in exponential form is:

64275 = 31 × 52 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 64256 and 64275.

LCM(64256,64275) = 28 × 2511 × 31 × 52 × 8571
LCM(64256,64275) = 4130054400