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What is the Least Common Multiple of 54285 and 54297?

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 54285 and 54297 is 982504215.

LCM(54285,54297) = 982504215

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Least Common Multiple of 54285 and 54297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54285 and 54297, than apply into the LCM equation.

GCF(54285,54297) = 3
LCM(54285,54297) = ( 54285 × 54297) / 3
LCM(54285,54297) = 2947512645 / 3
LCM(54285,54297) = 982504215

Least Common Multiple (LCM) of 54285 and 54297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54285 and 54297. First we will calculate the prime factors of 54285 and 54297.

Prime Factorization of 54285

Prime factors of 54285 are 3, 5, 7, 11, 47. Prime factorization of 54285 in exponential form is:

54285 = 31 × 51 × 71 × 111 × 471

Prime Factorization of 54297

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

54297 = 33 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 54285 and 54297.

LCM(54285,54297) = 33 × 51 × 71 × 111 × 471 × 20111
LCM(54285,54297) = 982504215