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What is the Least Common Multiple of 55539 and 55549?

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 55539 and 55549 is 3085135911.

LCM(55539,55549) = 3085135911

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Least Common Multiple of 55539 and 55549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55539 and 55549, than apply into the LCM equation.

GCF(55539,55549) = 1
LCM(55539,55549) = ( 55539 × 55549) / 1
LCM(55539,55549) = 3085135911 / 1
LCM(55539,55549) = 3085135911

Least Common Multiple (LCM) of 55539 and 55549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55539 and 55549. First we will calculate the prime factors of 55539 and 55549.

Prime Factorization of 55539

Prime factors of 55539 are 3, 11, 17. Prime factorization of 55539 in exponential form is:

55539 = 33 × 112 × 171

Prime Factorization of 55549

Prime factors of 55549 are 13, 4273. Prime factorization of 55549 in exponential form is:

55549 = 131 × 42731

Now multiplying the highest exponent prime factors to calculate the LCM of 55539 and 55549.

LCM(55539,55549) = 33 × 112 × 171 × 131 × 42731
LCM(55539,55549) = 3085135911