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What is the Least Common Multiple of 93475 and 93493?

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 93475 and 93493 is 8739258175.

LCM(93475,93493) = 8739258175

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Least Common Multiple of 93475 and 93493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93475 and 93493, than apply into the LCM equation.

GCF(93475,93493) = 1
LCM(93475,93493) = ( 93475 × 93493) / 1
LCM(93475,93493) = 8739258175 / 1
LCM(93475,93493) = 8739258175

Least Common Multiple (LCM) of 93475 and 93493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93475 and 93493. First we will calculate the prime factors of 93475 and 93493.

Prime Factorization of 93475

Prime factors of 93475 are 5, 3739. Prime factorization of 93475 in exponential form is:

93475 = 52 × 37391

Prime Factorization of 93493

Prime factors of 93493 are 93493. Prime factorization of 93493 in exponential form is:

93493 = 934931

Now multiplying the highest exponent prime factors to calculate the LCM of 93475 and 93493.

LCM(93475,93493) = 52 × 37391 × 934931
LCM(93475,93493) = 8739258175