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What is the Least Common Multiple of 6258 and 6267?

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 6258 and 6267 is 13072962.

LCM(6258,6267) = 13072962

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Least Common Multiple of 6258 and 6267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6258 and 6267, than apply into the LCM equation.

GCF(6258,6267) = 3
LCM(6258,6267) = ( 6258 × 6267) / 3
LCM(6258,6267) = 39218886 / 3
LCM(6258,6267) = 13072962

Least Common Multiple (LCM) of 6258 and 6267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6267. First we will calculate the prime factors of 6258 and 6267.

Prime Factorization of 6258

Prime factors of 6258 are 2, 3, 7, 149. Prime factorization of 6258 in exponential form is:

6258 = 21 × 31 × 71 × 1491

Prime Factorization of 6267

Prime factors of 6267 are 3, 2089. Prime factorization of 6267 in exponential form is:

6267 = 31 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 6258 and 6267.

LCM(6258,6267) = 21 × 31 × 71 × 1491 × 20891
LCM(6258,6267) = 13072962