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What is the Least Common Multiple of 64308 and 64327?

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 64308 and 64327 is 4136740716.

LCM(64308,64327) = 4136740716

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Least Common Multiple of 64308 and 64327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64308 and 64327, than apply into the LCM equation.

GCF(64308,64327) = 1
LCM(64308,64327) = ( 64308 × 64327) / 1
LCM(64308,64327) = 4136740716 / 1
LCM(64308,64327) = 4136740716

Least Common Multiple (LCM) of 64308 and 64327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64308 and 64327. First we will calculate the prime factors of 64308 and 64327.

Prime Factorization of 64308

Prime factors of 64308 are 2, 3, 23, 233. Prime factorization of 64308 in exponential form is:

64308 = 22 × 31 × 231 × 2331

Prime Factorization of 64327

Prime factors of 64327 are 64327. Prime factorization of 64327 in exponential form is:

64327 = 643271

Now multiplying the highest exponent prime factors to calculate the LCM of 64308 and 64327.

LCM(64308,64327) = 22 × 31 × 231 × 2331 × 643271
LCM(64308,64327) = 4136740716