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What is the Least Common Multiple of 55181 and 55201?

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 55181 and 55201 is 3046046381.

LCM(55181,55201) = 3046046381

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Least Common Multiple of 55181 and 55201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55181 and 55201, than apply into the LCM equation.

GCF(55181,55201) = 1
LCM(55181,55201) = ( 55181 × 55201) / 1
LCM(55181,55201) = 3046046381 / 1
LCM(55181,55201) = 3046046381

Least Common Multiple (LCM) of 55181 and 55201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55181 and 55201. First we will calculate the prime factors of 55181 and 55201.

Prime Factorization of 55181

Prime factors of 55181 are 7, 7883. Prime factorization of 55181 in exponential form is:

55181 = 71 × 78831

Prime Factorization of 55201

Prime factors of 55201 are 55201. Prime factorization of 55201 in exponential form is:

55201 = 552011

Now multiplying the highest exponent prime factors to calculate the LCM of 55181 and 55201.

LCM(55181,55201) = 71 × 78831 × 552011
LCM(55181,55201) = 3046046381