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What is the Least Common Multiple of 93487 and 93499?

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 93487 and 93499 is 8740941013.

LCM(93487,93499) = 8740941013

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Least Common Multiple of 93487 and 93499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93487 and 93499, than apply into the LCM equation.

GCF(93487,93499) = 1
LCM(93487,93499) = ( 93487 × 93499) / 1
LCM(93487,93499) = 8740941013 / 1
LCM(93487,93499) = 8740941013

Least Common Multiple (LCM) of 93487 and 93499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93487 and 93499. First we will calculate the prime factors of 93487 and 93499.

Prime Factorization of 93487

Prime factors of 93487 are 93487. Prime factorization of 93487 in exponential form is:

93487 = 934871

Prime Factorization of 93499

Prime factors of 93499 are 7, 19, 37. Prime factorization of 93499 in exponential form is:

93499 = 71 × 192 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 93487 and 93499.

LCM(93487,93499) = 934871 × 71 × 192 × 371
LCM(93487,93499) = 8740941013