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What is the Least Common Multiple of 93527 and 93537?

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 93527 and 93537 is 8748234999.

LCM(93527,93537) = 8748234999

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Least Common Multiple of 93527 and 93537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93527 and 93537, than apply into the LCM equation.

GCF(93527,93537) = 1
LCM(93527,93537) = ( 93527 × 93537) / 1
LCM(93527,93537) = 8748234999 / 1
LCM(93527,93537) = 8748234999

Least Common Multiple (LCM) of 93527 and 93537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93527 and 93537. First we will calculate the prime factors of 93527 and 93537.

Prime Factorization of 93527

Prime factors of 93527 are 7, 31, 431. Prime factorization of 93527 in exponential form is:

93527 = 71 × 311 × 4311

Prime Factorization of 93537

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

93537 = 32 × 191 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 93527 and 93537.

LCM(93527,93537) = 71 × 311 × 4311 × 32 × 191 × 5471
LCM(93527,93537) = 8748234999