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What is the Least Common Multiple of 2901 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 2901 and 2917 is 8462217.

LCM(2901,2917) = 8462217

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Least Common Multiple of 2901 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 2901 and 2917, than apply into the LCM equation.

GCF(2901,2917) = 1
LCM(2901,2917) = ( 2901 × 2917) / 1
LCM(2901,2917) = 8462217 / 1
LCM(2901,2917) = 8462217

Least Common Multiple (LCM) of 2901 and 2917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2901 and 2917. First we will calculate the prime factors of 2901 and 2917.

Prime Factorization of 2901

Prime factors of 2901 are 3, 967. Prime factorization of 2901 in exponential form is:

2901 = 31 × 9671

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 2901 and 2917.

LCM(2901,2917) = 31 × 9671 × 29171
LCM(2901,2917) = 8462217