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What is the Least Common Multiple of 64351 and 64365?

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 64351 and 64365 is 591707445.

LCM(64351,64365) = 591707445

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Least Common Multiple of 64351 and 64365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64351 and 64365, than apply into the LCM equation.

GCF(64351,64365) = 7
LCM(64351,64365) = ( 64351 × 64365) / 7
LCM(64351,64365) = 4141952115 / 7
LCM(64351,64365) = 591707445

Least Common Multiple (LCM) of 64351 and 64365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64351 and 64365. First we will calculate the prime factors of 64351 and 64365.

Prime Factorization of 64351

Prime factors of 64351 are 7, 29, 317. Prime factorization of 64351 in exponential form is:

64351 = 71 × 291 × 3171

Prime Factorization of 64365

Prime factors of 64365 are 3, 5, 7, 613. Prime factorization of 64365 in exponential form is:

64365 = 31 × 51 × 71 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 64351 and 64365.

LCM(64351,64365) = 71 × 291 × 3171 × 31 × 51 × 6131
LCM(64351,64365) = 591707445