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What is the Least Common Multiple of 2905 and 2917?

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 2905 and 2917 is 8473885.

LCM(2905,2917) = 8473885

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Least Common Multiple of 2905 and 2917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2905 and 2917, than apply into the LCM equation.

GCF(2905,2917) = 1
LCM(2905,2917) = ( 2905 × 2917) / 1
LCM(2905,2917) = 8473885 / 1
LCM(2905,2917) = 8473885

Least Common Multiple (LCM) of 2905 and 2917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2905 and 2917. First we will calculate the prime factors of 2905 and 2917.

Prime Factorization of 2905

Prime factors of 2905 are 5, 7, 83. Prime factorization of 2905 in exponential form is:

2905 = 51 × 71 × 831

Prime Factorization of 2917

Prime factors of 2917 are 2917. Prime factorization of 2917 in exponential form is:

2917 = 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 2905 and 2917.

LCM(2905,2917) = 51 × 71 × 831 × 29171
LCM(2905,2917) = 8473885