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What is the Least Common Multiple of 905 and 917?

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 905 and 917 is 829885.

LCM(905,917) = 829885

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Least Common Multiple of 905 and 917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 905 and 917, than apply into the LCM equation.

GCF(905,917) = 1
LCM(905,917) = ( 905 × 917) / 1
LCM(905,917) = 829885 / 1
LCM(905,917) = 829885

Least Common Multiple (LCM) of 905 and 917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 905 and 917. First we will calculate the prime factors of 905 and 917.

Prime Factorization of 905

Prime factors of 905 are 5, 181. Prime factorization of 905 in exponential form is:

905 = 51 × 1811

Prime Factorization of 917

Prime factors of 917 are 7, 131. Prime factorization of 917 in exponential form is:

917 = 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 905 and 917.

LCM(905,917) = 51 × 1811 × 71 × 1311
LCM(905,917) = 829885