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What is the Least Common Multiple of 9541 and 9548?

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 9541 and 9548 is 13013924.

LCM(9541,9548) = 13013924

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Least Common Multiple of 9541 and 9548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9541 and 9548, than apply into the LCM equation.

GCF(9541,9548) = 7
LCM(9541,9548) = ( 9541 × 9548) / 7
LCM(9541,9548) = 91097468 / 7
LCM(9541,9548) = 13013924

Least Common Multiple (LCM) of 9541 and 9548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9541 and 9548. First we will calculate the prime factors of 9541 and 9548.

Prime Factorization of 9541

Prime factors of 9541 are 7, 29, 47. Prime factorization of 9541 in exponential form is:

9541 = 71 × 291 × 471

Prime Factorization of 9548

Prime factors of 9548 are 2, 7, 11, 31. Prime factorization of 9548 in exponential form is:

9548 = 22 × 71 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 9541 and 9548.

LCM(9541,9548) = 71 × 291 × 471 × 22 × 111 × 311
LCM(9541,9548) = 13013924