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What is the Least Common Multiple of 4324 and 4333?

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 4324 and 4333 is 18735892.

LCM(4324,4333) = 18735892

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Least Common Multiple of 4324 and 4333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4324 and 4333, than apply into the LCM equation.

GCF(4324,4333) = 1
LCM(4324,4333) = ( 4324 × 4333) / 1
LCM(4324,4333) = 18735892 / 1
LCM(4324,4333) = 18735892

Least Common Multiple (LCM) of 4324 and 4333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4324 and 4333. First we will calculate the prime factors of 4324 and 4333.

Prime Factorization of 4324

Prime factors of 4324 are 2, 23, 47. Prime factorization of 4324 in exponential form is:

4324 = 22 × 231 × 471

Prime Factorization of 4333

Prime factors of 4333 are 7, 619. Prime factorization of 4333 in exponential form is:

4333 = 71 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 4324 and 4333.

LCM(4324,4333) = 22 × 231 × 471 × 71 × 6191
LCM(4324,4333) = 18735892