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What is the Least Common Multiple of 93529 and 93547?

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 93529 and 93547 is 8749357363.

LCM(93529,93547) = 8749357363

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Least Common Multiple of 93529 and 93547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93529 and 93547, than apply into the LCM equation.

GCF(93529,93547) = 1
LCM(93529,93547) = ( 93529 × 93547) / 1
LCM(93529,93547) = 8749357363 / 1
LCM(93529,93547) = 8749357363

Least Common Multiple (LCM) of 93529 and 93547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93529 and 93547. First we will calculate the prime factors of 93529 and 93547.

Prime Factorization of 93529

Prime factors of 93529 are 93529. Prime factorization of 93529 in exponential form is:

93529 = 935291

Prime Factorization of 93547

Prime factors of 93547 are 139, 673. Prime factorization of 93547 in exponential form is:

93547 = 1391 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 93529 and 93547.

LCM(93529,93547) = 935291 × 1391 × 6731
LCM(93529,93547) = 8749357363