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What is the Least Common Multiple of 93449 and 93460?

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 93449 and 93460 is 8733743540.

LCM(93449,93460) = 8733743540

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Least Common Multiple of 93449 and 93460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93449 and 93460, than apply into the LCM equation.

GCF(93449,93460) = 1
LCM(93449,93460) = ( 93449 × 93460) / 1
LCM(93449,93460) = 8733743540 / 1
LCM(93449,93460) = 8733743540

Least Common Multiple (LCM) of 93449 and 93460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93449 and 93460. First we will calculate the prime factors of 93449 and 93460.

Prime Factorization of 93449

Prime factors of 93449 are 17, 23, 239. Prime factorization of 93449 in exponential form is:

93449 = 171 × 231 × 2391

Prime Factorization of 93460

Prime factors of 93460 are 2, 5, 4673. Prime factorization of 93460 in exponential form is:

93460 = 22 × 51 × 46731

Now multiplying the highest exponent prime factors to calculate the LCM of 93449 and 93460.

LCM(93449,93460) = 171 × 231 × 2391 × 22 × 51 × 46731
LCM(93449,93460) = 8733743540