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What is the Least Common Multiple of 8330 and 8344?

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 8330 and 8344 is 4964680.

LCM(8330,8344) = 4964680

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Least Common Multiple of 8330 and 8344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8330 and 8344, than apply into the LCM equation.

GCF(8330,8344) = 14
LCM(8330,8344) = ( 8330 × 8344) / 14
LCM(8330,8344) = 69505520 / 14
LCM(8330,8344) = 4964680

Least Common Multiple (LCM) of 8330 and 8344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8330 and 8344. First we will calculate the prime factors of 8330 and 8344.

Prime Factorization of 8330

Prime factors of 8330 are 2, 5, 7, 17. Prime factorization of 8330 in exponential form is:

8330 = 21 × 51 × 72 × 171

Prime Factorization of 8344

Prime factors of 8344 are 2, 7, 149. Prime factorization of 8344 in exponential form is:

8344 = 23 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8330 and 8344.

LCM(8330,8344) = 23 × 51 × 72 × 171 × 1491
LCM(8330,8344) = 4964680