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What is the Least Common Multiple of 9574 and 9583?

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 9574 and 9583 is 91747642.

LCM(9574,9583) = 91747642

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Least Common Multiple of 9574 and 9583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9574 and 9583, than apply into the LCM equation.

GCF(9574,9583) = 1
LCM(9574,9583) = ( 9574 × 9583) / 1
LCM(9574,9583) = 91747642 / 1
LCM(9574,9583) = 91747642

Least Common Multiple (LCM) of 9574 and 9583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9574 and 9583. First we will calculate the prime factors of 9574 and 9583.

Prime Factorization of 9574

Prime factors of 9574 are 2, 4787. Prime factorization of 9574 in exponential form is:

9574 = 21 × 47871

Prime Factorization of 9583

Prime factors of 9583 are 7, 37. Prime factorization of 9583 in exponential form is:

9583 = 71 × 372

Now multiplying the highest exponent prime factors to calculate the LCM of 9574 and 9583.

LCM(9574,9583) = 21 × 47871 × 71 × 372
LCM(9574,9583) = 91747642