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What is the Least Common Multiple of 54297 and 54306?

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 54297 and 54306 is 327628098.

LCM(54297,54306) = 327628098

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Least Common Multiple of 54297 and 54306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54297 and 54306, than apply into the LCM equation.

GCF(54297,54306) = 9
LCM(54297,54306) = ( 54297 × 54306) / 9
LCM(54297,54306) = 2948652882 / 9
LCM(54297,54306) = 327628098

Least Common Multiple (LCM) of 54297 and 54306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54297 and 54306. First we will calculate the prime factors of 54297 and 54306.

Prime Factorization of 54297

Prime factors of 54297 are 3, 2011. Prime factorization of 54297 in exponential form is:

54297 = 33 × 20111

Prime Factorization of 54306

Prime factors of 54306 are 2, 3, 7, 431. Prime factorization of 54306 in exponential form is:

54306 = 21 × 32 × 71 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 54297 and 54306.

LCM(54297,54306) = 33 × 20111 × 21 × 71 × 4311
LCM(54297,54306) = 327628098