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What is the Least Common Multiple of 9546 and 9554?

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 9546 and 9554 is 45601242.

LCM(9546,9554) = 45601242

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Least Common Multiple of 9546 and 9554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9546 and 9554, than apply into the LCM equation.

GCF(9546,9554) = 2
LCM(9546,9554) = ( 9546 × 9554) / 2
LCM(9546,9554) = 91202484 / 2
LCM(9546,9554) = 45601242

Least Common Multiple (LCM) of 9546 and 9554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9546 and 9554. First we will calculate the prime factors of 9546 and 9554.

Prime Factorization of 9546

Prime factors of 9546 are 2, 3, 37, 43. Prime factorization of 9546 in exponential form is:

9546 = 21 × 31 × 371 × 431

Prime Factorization of 9554

Prime factors of 9554 are 2, 17, 281. Prime factorization of 9554 in exponential form is:

9554 = 21 × 171 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 9546 and 9554.

LCM(9546,9554) = 21 × 31 × 371 × 431 × 171 × 2811
LCM(9546,9554) = 45601242