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What is the Least Common Multiple of 6439 and 6452?

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 6439 and 6452 is 41544428.

LCM(6439,6452) = 41544428

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Least Common Multiple of 6439 and 6452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6439 and 6452, than apply into the LCM equation.

GCF(6439,6452) = 1
LCM(6439,6452) = ( 6439 × 6452) / 1
LCM(6439,6452) = 41544428 / 1
LCM(6439,6452) = 41544428

Least Common Multiple (LCM) of 6439 and 6452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6439 and 6452. First we will calculate the prime factors of 6439 and 6452.

Prime Factorization of 6439

Prime factors of 6439 are 47, 137. Prime factorization of 6439 in exponential form is:

6439 = 471 × 1371

Prime Factorization of 6452

Prime factors of 6452 are 2, 1613. Prime factorization of 6452 in exponential form is:

6452 = 22 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 6439 and 6452.

LCM(6439,6452) = 471 × 1371 × 22 × 16131
LCM(6439,6452) = 41544428