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What is the Least Common Multiple of 9548 and 9566?

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 9548 and 9566 is 45668084.

LCM(9548,9566) = 45668084

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Least Common Multiple of 9548 and 9566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9548 and 9566, than apply into the LCM equation.

GCF(9548,9566) = 2
LCM(9548,9566) = ( 9548 × 9566) / 2
LCM(9548,9566) = 91336168 / 2
LCM(9548,9566) = 45668084

Least Common Multiple (LCM) of 9548 and 9566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9548 and 9566. First we will calculate the prime factors of 9548 and 9566.

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

Prime Factorization of 9566

Prime factors of 9566 are 2, 4783. Prime factorization of 9566 in exponential form is:

9566 = 21 × 47831

Now multiplying the highest exponent prime factors to calculate the LCM of 9548 and 9566.

LCM(9548,9566) = 22 × 71 × 111 × 311 × 47831
LCM(9548,9566) = 45668084