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What is the Least Common Multiple of 93459 and 93463?

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 93459 and 93463 is 8734958517.

LCM(93459,93463) = 8734958517

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Least Common Multiple of 93459 and 93463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93459 and 93463, than apply into the LCM equation.

GCF(93459,93463) = 1
LCM(93459,93463) = ( 93459 × 93463) / 1
LCM(93459,93463) = 8734958517 / 1
LCM(93459,93463) = 8734958517

Least Common Multiple (LCM) of 93459 and 93463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93459 and 93463. First we will calculate the prime factors of 93459 and 93463.

Prime Factorization of 93459

Prime factors of 93459 are 3, 31153. Prime factorization of 93459 in exponential form is:

93459 = 31 × 311531

Prime Factorization of 93463

Prime factors of 93463 are 93463. Prime factorization of 93463 in exponential form is:

93463 = 934631

Now multiplying the highest exponent prime factors to calculate the LCM of 93459 and 93463.

LCM(93459,93463) = 31 × 311531 × 934631
LCM(93459,93463) = 8734958517