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What is the Least Common Multiple of 93515 and 93533?

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 93515 and 93533 is 8746738495.

LCM(93515,93533) = 8746738495

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Least Common Multiple of 93515 and 93533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93515 and 93533, than apply into the LCM equation.

GCF(93515,93533) = 1
LCM(93515,93533) = ( 93515 × 93533) / 1
LCM(93515,93533) = 8746738495 / 1
LCM(93515,93533) = 8746738495

Least Common Multiple (LCM) of 93515 and 93533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93515 and 93533. First we will calculate the prime factors of 93515 and 93533.

Prime Factorization of 93515

Prime factors of 93515 are 5, 59, 317. Prime factorization of 93515 in exponential form is:

93515 = 51 × 591 × 3171

Prime Factorization of 93533

Prime factors of 93533 are 11, 773. Prime factorization of 93533 in exponential form is:

93533 = 112 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 93515 and 93533.

LCM(93515,93533) = 51 × 591 × 3171 × 112 × 7731
LCM(93515,93533) = 8746738495