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What is the Least Common Multiple of 4302 and 4321?

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 4321 is 18588942.

LCM(4302,4321) = 18588942

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Least Common Multiple of 4302 and 4321 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 4321, than apply into the LCM equation.

GCF(4302,4321) = 1
LCM(4302,4321) = ( 4302 × 4321) / 1
LCM(4302,4321) = 18588942 / 1
LCM(4302,4321) = 18588942

Least Common Multiple (LCM) of 4302 and 4321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4302 and 4321. First we will calculate the prime factors of 4302 and 4321.

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 4321

Prime factors of 4321 are 29, 149. Prime factorization of 4321 in exponential form is:

4321 = 291 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4302 and 4321.

LCM(4302,4321) = 21 × 32 × 2391 × 291 × 1491
LCM(4302,4321) = 18588942