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What is the Least Common Multiple of 4324 and 4329?

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 4329 is 18718596.

LCM(4324,4329) = 18718596

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Least Common Multiple of 4324 and 4329 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 4329, than apply into the LCM equation.

GCF(4324,4329) = 1
LCM(4324,4329) = ( 4324 × 4329) / 1
LCM(4324,4329) = 18718596 / 1
LCM(4324,4329) = 18718596

Least Common Multiple (LCM) of 4324 and 4329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4324 and 4329. First we will calculate the prime factors of 4324 and 4329.

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 4329

Prime factors of 4329 are 3, 13, 37. Prime factorization of 4329 in exponential form is:

4329 = 32 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 4324 and 4329.

LCM(4324,4329) = 22 × 231 × 471 × 32 × 131 × 371
LCM(4324,4329) = 18718596