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What is the Least Common Multiple of 4307 and 4317?

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 4307 and 4317 is 18593319.

LCM(4307,4317) = 18593319

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Least Common Multiple of 4307 and 4317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4307 and 4317, than apply into the LCM equation.

GCF(4307,4317) = 1
LCM(4307,4317) = ( 4307 × 4317) / 1
LCM(4307,4317) = 18593319 / 1
LCM(4307,4317) = 18593319

Least Common Multiple (LCM) of 4307 and 4317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4307 and 4317. First we will calculate the prime factors of 4307 and 4317.

Prime Factorization of 4307

Prime factors of 4307 are 59, 73. Prime factorization of 4307 in exponential form is:

4307 = 591 × 731

Prime Factorization of 4317

Prime factors of 4317 are 3, 1439. Prime factorization of 4317 in exponential form is:

4317 = 31 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 4307 and 4317.

LCM(4307,4317) = 591 × 731 × 31 × 14391
LCM(4307,4317) = 18593319