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What is the Least Common Multiple of 2149 and 2165?

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 2149 and 2165 is 4652585.

LCM(2149,2165) = 4652585

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Least Common Multiple of 2149 and 2165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2149 and 2165, than apply into the LCM equation.

GCF(2149,2165) = 1
LCM(2149,2165) = ( 2149 × 2165) / 1
LCM(2149,2165) = 4652585 / 1
LCM(2149,2165) = 4652585

Least Common Multiple (LCM) of 2149 and 2165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2149 and 2165. First we will calculate the prime factors of 2149 and 2165.

Prime Factorization of 2149

Prime factors of 2149 are 7, 307. Prime factorization of 2149 in exponential form is:

2149 = 71 × 3071

Prime Factorization of 2165

Prime factors of 2165 are 5, 433. Prime factorization of 2165 in exponential form is:

2165 = 51 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 2149 and 2165.

LCM(2149,2165) = 71 × 3071 × 51 × 4331
LCM(2149,2165) = 4652585