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What is the Least Common Multiple of 64323 and 64343?

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 64323 and 64343 is 4138734789.

LCM(64323,64343) = 4138734789

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Least Common Multiple of 64323 and 64343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64323 and 64343, than apply into the LCM equation.

GCF(64323,64343) = 1
LCM(64323,64343) = ( 64323 × 64343) / 1
LCM(64323,64343) = 4138734789 / 1
LCM(64323,64343) = 4138734789

Least Common Multiple (LCM) of 64323 and 64343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64323 and 64343. First we will calculate the prime factors of 64323 and 64343.

Prime Factorization of 64323

Prime factors of 64323 are 3, 7, 1021. Prime factorization of 64323 in exponential form is:

64323 = 32 × 71 × 10211

Prime Factorization of 64343

Prime factors of 64343 are 37, 47. Prime factorization of 64343 in exponential form is:

64343 = 372 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64323 and 64343.

LCM(64323,64343) = 32 × 71 × 10211 × 372 × 471
LCM(64323,64343) = 4138734789