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What is the Least Common Multiple of 5905 and 5922?

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 5905 and 5922 is 34969410.

LCM(5905,5922) = 34969410

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Least Common Multiple of 5905 and 5922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5905 and 5922, than apply into the LCM equation.

GCF(5905,5922) = 1
LCM(5905,5922) = ( 5905 × 5922) / 1
LCM(5905,5922) = 34969410 / 1
LCM(5905,5922) = 34969410

Least Common Multiple (LCM) of 5905 and 5922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5905 and 5922. First we will calculate the prime factors of 5905 and 5922.

Prime Factorization of 5905

Prime factors of 5905 are 5, 1181. Prime factorization of 5905 in exponential form is:

5905 = 51 × 11811

Prime Factorization of 5922

Prime factors of 5922 are 2, 3, 7, 47. Prime factorization of 5922 in exponential form is:

5922 = 21 × 32 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 5905 and 5922.

LCM(5905,5922) = 51 × 11811 × 21 × 32 × 71 × 471
LCM(5905,5922) = 34969410