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What is the Least Common Multiple of 9537 and 9552?

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 9537 and 9552 is 30365808.

LCM(9537,9552) = 30365808

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Least Common Multiple of 9537 and 9552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9537 and 9552, than apply into the LCM equation.

GCF(9537,9552) = 3
LCM(9537,9552) = ( 9537 × 9552) / 3
LCM(9537,9552) = 91097424 / 3
LCM(9537,9552) = 30365808

Least Common Multiple (LCM) of 9537 and 9552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9537 and 9552. First we will calculate the prime factors of 9537 and 9552.

Prime Factorization of 9537

Prime factors of 9537 are 3, 11, 17. Prime factorization of 9537 in exponential form is:

9537 = 31 × 111 × 172

Prime Factorization of 9552

Prime factors of 9552 are 2, 3, 199. Prime factorization of 9552 in exponential form is:

9552 = 24 × 31 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9537 and 9552.

LCM(9537,9552) = 31 × 111 × 172 × 24 × 1991
LCM(9537,9552) = 30365808