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What is the Least Common Multiple of 64359 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 64359 and 64365 is 1380822345.

LCM(64359,64365) = 1380822345

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Least Common Multiple of 64359 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 64359 and 64365, than apply into the LCM equation.

GCF(64359,64365) = 3
LCM(64359,64365) = ( 64359 × 64365) / 3
LCM(64359,64365) = 4142467035 / 3
LCM(64359,64365) = 1380822345

Least Common Multiple (LCM) of 64359 and 64365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64359 and 64365. First we will calculate the prime factors of 64359 and 64365.

Prime Factorization of 64359

Prime factors of 64359 are 3, 7151. Prime factorization of 64359 in exponential form is:

64359 = 32 × 71511

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 64359 and 64365.

LCM(64359,64365) = 32 × 71511 × 51 × 71 × 6131
LCM(64359,64365) = 1380822345