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What is the Least Common Multiple of 64379 and 64393?

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 64379 and 64393 is 592222421.

LCM(64379,64393) = 592222421

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Least Common Multiple of 64379 and 64393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64379 and 64393, than apply into the LCM equation.

GCF(64379,64393) = 7
LCM(64379,64393) = ( 64379 × 64393) / 7
LCM(64379,64393) = 4145556947 / 7
LCM(64379,64393) = 592222421

Least Common Multiple (LCM) of 64379 and 64393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64379 and 64393. First we will calculate the prime factors of 64379 and 64393.

Prime Factorization of 64379

Prime factors of 64379 are 7, 17, 541. Prime factorization of 64379 in exponential form is:

64379 = 71 × 171 × 5411

Prime Factorization of 64393

Prime factors of 64393 are 7, 9199. Prime factorization of 64393 in exponential form is:

64393 = 71 × 91991

Now multiplying the highest exponent prime factors to calculate the LCM of 64379 and 64393.

LCM(64379,64393) = 71 × 171 × 5411 × 91991
LCM(64379,64393) = 592222421