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What is the Least Common Multiple of 6272 and 6284?

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 6272 and 6284 is 9853312.

LCM(6272,6284) = 9853312

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Least Common Multiple of 6272 and 6284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6272 and 6284, than apply into the LCM equation.

GCF(6272,6284) = 4
LCM(6272,6284) = ( 6272 × 6284) / 4
LCM(6272,6284) = 39413248 / 4
LCM(6272,6284) = 9853312

Least Common Multiple (LCM) of 6272 and 6284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6272 and 6284. First we will calculate the prime factors of 6272 and 6284.

Prime Factorization of 6272

Prime factors of 6272 are 2, 7. Prime factorization of 6272 in exponential form is:

6272 = 27 × 72

Prime Factorization of 6284

Prime factors of 6284 are 2, 1571. Prime factorization of 6284 in exponential form is:

6284 = 22 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 6272 and 6284.

LCM(6272,6284) = 27 × 72 × 15711
LCM(6272,6284) = 9853312