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What is the Least Common Multiple of 93537 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 93537 and 93547 is 8750105739.

LCM(93537,93547) = 8750105739

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Least Common Multiple of 93537 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 93537 and 93547, than apply into the LCM equation.

GCF(93537,93547) = 1
LCM(93537,93547) = ( 93537 × 93547) / 1
LCM(93537,93547) = 8750105739 / 1
LCM(93537,93547) = 8750105739

Least Common Multiple (LCM) of 93537 and 93547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93537 and 93547. First we will calculate the prime factors of 93537 and 93547.

Prime Factorization of 93537

Prime factors of 93537 are 3, 19, 547. Prime factorization of 93537 in exponential form is:

93537 = 32 × 191 × 5471

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 93537 and 93547.

LCM(93537,93547) = 32 × 191 × 5471 × 1391 × 6731
LCM(93537,93547) = 8750105739