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What is the Least Common Multiple of 4357 and 4368?

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 4357 and 4368 is 19031376.

LCM(4357,4368) = 19031376

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Least Common Multiple of 4357 and 4368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4357 and 4368, than apply into the LCM equation.

GCF(4357,4368) = 1
LCM(4357,4368) = ( 4357 × 4368) / 1
LCM(4357,4368) = 19031376 / 1
LCM(4357,4368) = 19031376

Least Common Multiple (LCM) of 4357 and 4368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4357 and 4368. First we will calculate the prime factors of 4357 and 4368.

Prime Factorization of 4357

Prime factors of 4357 are 4357. Prime factorization of 4357 in exponential form is:

4357 = 43571

Prime Factorization of 4368

Prime factors of 4368 are 2, 3, 7, 13. Prime factorization of 4368 in exponential form is:

4368 = 24 × 31 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 4357 and 4368.

LCM(4357,4368) = 43571 × 24 × 31 × 71 × 131
LCM(4357,4368) = 19031376