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What is the Least Common Multiple of 93459 and 93472?

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 93472 is 8735799648.

LCM(93459,93472) = 8735799648

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Least Common Multiple of 93459 and 93472 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 93472, than apply into the LCM equation.

GCF(93459,93472) = 1
LCM(93459,93472) = ( 93459 × 93472) / 1
LCM(93459,93472) = 8735799648 / 1
LCM(93459,93472) = 8735799648

Least Common Multiple (LCM) of 93459 and 93472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93459 and 93472. First we will calculate the prime factors of 93459 and 93472.

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 93472

Prime factors of 93472 are 2, 23, 127. Prime factorization of 93472 in exponential form is:

93472 = 25 × 231 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 93459 and 93472.

LCM(93459,93472) = 31 × 311531 × 25 × 231 × 1271
LCM(93459,93472) = 8735799648