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What is the Least Common Multiple of 55913 and 55929?

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 55913 and 55929 is 3127158177.

LCM(55913,55929) = 3127158177

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Least Common Multiple of 55913 and 55929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55913 and 55929, than apply into the LCM equation.

GCF(55913,55929) = 1
LCM(55913,55929) = ( 55913 × 55929) / 1
LCM(55913,55929) = 3127158177 / 1
LCM(55913,55929) = 3127158177

Least Common Multiple (LCM) of 55913 and 55929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55913 and 55929. First we will calculate the prime factors of 55913 and 55929.

Prime Factorization of 55913

Prime factors of 55913 are 11, 13, 17, 23. Prime factorization of 55913 in exponential form is:

55913 = 111 × 131 × 171 × 231

Prime Factorization of 55929

Prime factors of 55929 are 3, 103, 181. Prime factorization of 55929 in exponential form is:

55929 = 31 × 1031 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 55913 and 55929.

LCM(55913,55929) = 111 × 131 × 171 × 231 × 31 × 1031 × 1811
LCM(55913,55929) = 3127158177