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What is the Least Common Multiple of 2295 and 2308?

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 2295 and 2308 is 5296860.

LCM(2295,2308) = 5296860

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Least Common Multiple of 2295 and 2308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2295 and 2308, than apply into the LCM equation.

GCF(2295,2308) = 1
LCM(2295,2308) = ( 2295 × 2308) / 1
LCM(2295,2308) = 5296860 / 1
LCM(2295,2308) = 5296860

Least Common Multiple (LCM) of 2295 and 2308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2295 and 2308. First we will calculate the prime factors of 2295 and 2308.

Prime Factorization of 2295

Prime factors of 2295 are 3, 5, 17. Prime factorization of 2295 in exponential form is:

2295 = 33 × 51 × 171

Prime Factorization of 2308

Prime factors of 2308 are 2, 577. Prime factorization of 2308 in exponential form is:

2308 = 22 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 2295 and 2308.

LCM(2295,2308) = 33 × 51 × 171 × 22 × 5771
LCM(2295,2308) = 5296860