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What is the Least Common Multiple of 4302 and 4313?

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 4302 and 4313 is 18554526.

LCM(4302,4313) = 18554526

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Least Common Multiple of 4302 and 4313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4302 and 4313, than apply into the LCM equation.

GCF(4302,4313) = 1
LCM(4302,4313) = ( 4302 × 4313) / 1
LCM(4302,4313) = 18554526 / 1
LCM(4302,4313) = 18554526

Least Common Multiple (LCM) of 4302 and 4313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4302 and 4313. First we will calculate the prime factors of 4302 and 4313.

Prime Factorization of 4302

Prime factors of 4302 are 2, 3, 239. Prime factorization of 4302 in exponential form is:

4302 = 21 × 32 × 2391

Prime Factorization of 4313

Prime factors of 4313 are 19, 227. Prime factorization of 4313 in exponential form is:

4313 = 191 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 4302 and 4313.

LCM(4302,4313) = 21 × 32 × 2391 × 191 × 2271
LCM(4302,4313) = 18554526