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What is the Least Common Multiple of 8925 and 8933?

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 8925 and 8933 is 79727025.

LCM(8925,8933) = 79727025

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Least Common Multiple of 8925 and 8933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8925 and 8933, than apply into the LCM equation.

GCF(8925,8933) = 1
LCM(8925,8933) = ( 8925 × 8933) / 1
LCM(8925,8933) = 79727025 / 1
LCM(8925,8933) = 79727025

Least Common Multiple (LCM) of 8925 and 8933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8925 and 8933. First we will calculate the prime factors of 8925 and 8933.

Prime Factorization of 8925

Prime factors of 8925 are 3, 5, 7, 17. Prime factorization of 8925 in exponential form is:

8925 = 31 × 52 × 71 × 171

Prime Factorization of 8933

Prime factors of 8933 are 8933. Prime factorization of 8933 in exponential form is:

8933 = 89331

Now multiplying the highest exponent prime factors to calculate the LCM of 8925 and 8933.

LCM(8925,8933) = 31 × 52 × 71 × 171 × 89331
LCM(8925,8933) = 79727025