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What is the Least Common Multiple of 9517 and 9536?

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 9517 and 9536 is 90754112.

LCM(9517,9536) = 90754112

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Least Common Multiple of 9517 and 9536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9517 and 9536, than apply into the LCM equation.

GCF(9517,9536) = 1
LCM(9517,9536) = ( 9517 × 9536) / 1
LCM(9517,9536) = 90754112 / 1
LCM(9517,9536) = 90754112

Least Common Multiple (LCM) of 9517 and 9536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9517 and 9536. First we will calculate the prime factors of 9517 and 9536.

Prime Factorization of 9517

Prime factors of 9517 are 31, 307. Prime factorization of 9517 in exponential form is:

9517 = 311 × 3071

Prime Factorization of 9536

Prime factors of 9536 are 2, 149. Prime factorization of 9536 in exponential form is:

9536 = 26 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 9517 and 9536.

LCM(9517,9536) = 311 × 3071 × 26 × 1491
LCM(9517,9536) = 90754112