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What is the Least Common Multiple of 8433 and 8449?

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 8433 and 8449 is 71250417.

LCM(8433,8449) = 71250417

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Least Common Multiple of 8433 and 8449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8433 and 8449, than apply into the LCM equation.

GCF(8433,8449) = 1
LCM(8433,8449) = ( 8433 × 8449) / 1
LCM(8433,8449) = 71250417 / 1
LCM(8433,8449) = 71250417

Least Common Multiple (LCM) of 8433 and 8449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8433 and 8449. First we will calculate the prime factors of 8433 and 8449.

Prime Factorization of 8433

Prime factors of 8433 are 3, 937. Prime factorization of 8433 in exponential form is:

8433 = 32 × 9371

Prime Factorization of 8449

Prime factors of 8449 are 7, 17, 71. Prime factorization of 8449 in exponential form is:

8449 = 71 × 171 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 8433 and 8449.

LCM(8433,8449) = 32 × 9371 × 71 × 171 × 711
LCM(8433,8449) = 71250417