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What is the Least Common Multiple of 55914 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 55914 and 55929 is 1042404702.

LCM(55914,55929) = 1042404702

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Least Common Multiple of 55914 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 55914 and 55929, than apply into the LCM equation.

GCF(55914,55929) = 3
LCM(55914,55929) = ( 55914 × 55929) / 3
LCM(55914,55929) = 3127214106 / 3
LCM(55914,55929) = 1042404702

Least Common Multiple (LCM) of 55914 and 55929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55914 and 55929. First we will calculate the prime factors of 55914 and 55929.

Prime Factorization of 55914

Prime factors of 55914 are 2, 3, 9319. Prime factorization of 55914 in exponential form is:

55914 = 21 × 31 × 93191

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 55914 and 55929.

LCM(55914,55929) = 21 × 31 × 93191 × 1031 × 1811
LCM(55914,55929) = 1042404702