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What is the Least Common Multiple of 93574 and 93587?

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 93574 and 93587 is 673639226.

LCM(93574,93587) = 673639226

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Least Common Multiple of 93574 and 93587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93574 and 93587, than apply into the LCM equation.

GCF(93574,93587) = 13
LCM(93574,93587) = ( 93574 × 93587) / 13
LCM(93574,93587) = 8757309938 / 13
LCM(93574,93587) = 673639226

Least Common Multiple (LCM) of 93574 and 93587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93574 and 93587. First we will calculate the prime factors of 93574 and 93587.

Prime Factorization of 93574

Prime factors of 93574 are 2, 13, 59, 61. Prime factorization of 93574 in exponential form is:

93574 = 21 × 131 × 591 × 611

Prime Factorization of 93587

Prime factors of 93587 are 13, 23, 313. Prime factorization of 93587 in exponential form is:

93587 = 131 × 231 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 93574 and 93587.

LCM(93574,93587) = 21 × 131 × 591 × 611 × 231 × 3131
LCM(93574,93587) = 673639226