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What is the Least Common Multiple of 55905 and 55914?

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 55905 and 55914 is 1041957390.

LCM(55905,55914) = 1041957390

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Least Common Multiple of 55905 and 55914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55905 and 55914, than apply into the LCM equation.

GCF(55905,55914) = 3
LCM(55905,55914) = ( 55905 × 55914) / 3
LCM(55905,55914) = 3125872170 / 3
LCM(55905,55914) = 1041957390

Least Common Multiple (LCM) of 55905 and 55914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55905 and 55914. First we will calculate the prime factors of 55905 and 55914.

Prime Factorization of 55905

Prime factors of 55905 are 3, 5, 3727. Prime factorization of 55905 in exponential form is:

55905 = 31 × 51 × 37271

Prime Factorization of 55914

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

55914 = 21 × 31 × 93191

Now multiplying the highest exponent prime factors to calculate the LCM of 55905 and 55914.

LCM(55905,55914) = 31 × 51 × 37271 × 21 × 93191
LCM(55905,55914) = 1041957390