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What is the Least Common Multiple of 6479 and 6497?

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 6479 and 6497 is 42094063.

LCM(6479,6497) = 42094063

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Least Common Multiple of 6479 and 6497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6479 and 6497, than apply into the LCM equation.

GCF(6479,6497) = 1
LCM(6479,6497) = ( 6479 × 6497) / 1
LCM(6479,6497) = 42094063 / 1
LCM(6479,6497) = 42094063

Least Common Multiple (LCM) of 6479 and 6497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6479 and 6497. First we will calculate the prime factors of 6479 and 6497.

Prime Factorization of 6479

Prime factors of 6479 are 11, 19, 31. Prime factorization of 6479 in exponential form is:

6479 = 111 × 191 × 311

Prime Factorization of 6497

Prime factors of 6497 are 73, 89. Prime factorization of 6497 in exponential form is:

6497 = 731 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 6479 and 6497.

LCM(6479,6497) = 111 × 191 × 311 × 731 × 891
LCM(6479,6497) = 42094063