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What is the Least Common Multiple of 91566 and 91584?

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 91566 and 91584 is 465887808.

LCM(91566,91584) = 465887808

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Least Common Multiple of 91566 and 91584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91566 and 91584, than apply into the LCM equation.

GCF(91566,91584) = 18
LCM(91566,91584) = ( 91566 × 91584) / 18
LCM(91566,91584) = 8385980544 / 18
LCM(91566,91584) = 465887808

Least Common Multiple (LCM) of 91566 and 91584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91566 and 91584. First we will calculate the prime factors of 91566 and 91584.

Prime Factorization of 91566

Prime factors of 91566 are 2, 3, 5087. Prime factorization of 91566 in exponential form is:

91566 = 21 × 32 × 50871

Prime Factorization of 91584

Prime factors of 91584 are 2, 3, 53. Prime factorization of 91584 in exponential form is:

91584 = 26 × 33 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 91566 and 91584.

LCM(91566,91584) = 26 × 33 × 50871 × 531
LCM(91566,91584) = 465887808