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What is the Least Common Multiple of 2297 and 2305?

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 2297 and 2305 is 5294585.

LCM(2297,2305) = 5294585

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Least Common Multiple of 2297 and 2305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2297 and 2305, than apply into the LCM equation.

GCF(2297,2305) = 1
LCM(2297,2305) = ( 2297 × 2305) / 1
LCM(2297,2305) = 5294585 / 1
LCM(2297,2305) = 5294585

Least Common Multiple (LCM) of 2297 and 2305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2297 and 2305. First we will calculate the prime factors of 2297 and 2305.

Prime Factorization of 2297

Prime factors of 2297 are 2297. Prime factorization of 2297 in exponential form is:

2297 = 22971

Prime Factorization of 2305

Prime factors of 2305 are 5, 461. Prime factorization of 2305 in exponential form is:

2305 = 51 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 2297 and 2305.

LCM(2297,2305) = 22971 × 51 × 4611
LCM(2297,2305) = 5294585