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What is the Least Common Multiple of 8325 and 8329?

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 8325 and 8329 is 69338925.

LCM(8325,8329) = 69338925

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Least Common Multiple of 8325 and 8329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8325 and 8329, than apply into the LCM equation.

GCF(8325,8329) = 1
LCM(8325,8329) = ( 8325 × 8329) / 1
LCM(8325,8329) = 69338925 / 1
LCM(8325,8329) = 69338925

Least Common Multiple (LCM) of 8325 and 8329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8325 and 8329. First we will calculate the prime factors of 8325 and 8329.

Prime Factorization of 8325

Prime factors of 8325 are 3, 5, 37. Prime factorization of 8325 in exponential form is:

8325 = 32 × 52 × 371

Prime Factorization of 8329

Prime factors of 8329 are 8329. Prime factorization of 8329 in exponential form is:

8329 = 83291

Now multiplying the highest exponent prime factors to calculate the LCM of 8325 and 8329.

LCM(8325,8329) = 32 × 52 × 371 × 83291
LCM(8325,8329) = 69338925