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What is the Least Common Multiple of 9592 and 9597?

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 9592 and 9597 is 92054424.

LCM(9592,9597) = 92054424

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Least Common Multiple of 9592 and 9597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9592 and 9597, than apply into the LCM equation.

GCF(9592,9597) = 1
LCM(9592,9597) = ( 9592 × 9597) / 1
LCM(9592,9597) = 92054424 / 1
LCM(9592,9597) = 92054424

Least Common Multiple (LCM) of 9592 and 9597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9592 and 9597. First we will calculate the prime factors of 9592 and 9597.

Prime Factorization of 9592

Prime factors of 9592 are 2, 11, 109. Prime factorization of 9592 in exponential form is:

9592 = 23 × 111 × 1091

Prime Factorization of 9597

Prime factors of 9597 are 3, 7, 457. Prime factorization of 9597 in exponential form is:

9597 = 31 × 71 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 9592 and 9597.

LCM(9592,9597) = 23 × 111 × 1091 × 31 × 71 × 4571
LCM(9592,9597) = 92054424