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What is the Least Common Multiple of 6428 and 6439?

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 6428 and 6439 is 41389892.

LCM(6428,6439) = 41389892

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Least Common Multiple of 6428 and 6439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6428 and 6439, than apply into the LCM equation.

GCF(6428,6439) = 1
LCM(6428,6439) = ( 6428 × 6439) / 1
LCM(6428,6439) = 41389892 / 1
LCM(6428,6439) = 41389892

Least Common Multiple (LCM) of 6428 and 6439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6428 and 6439. First we will calculate the prime factors of 6428 and 6439.

Prime Factorization of 6428

Prime factors of 6428 are 2, 1607. Prime factorization of 6428 in exponential form is:

6428 = 22 × 16071

Prime Factorization of 6439

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

6439 = 471 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6428 and 6439.

LCM(6428,6439) = 22 × 16071 × 471 × 1371
LCM(6428,6439) = 41389892