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What is the Least Common Multiple of 6247 and 6258?

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 6247 and 6258 is 39093726.

LCM(6247,6258) = 39093726

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Least Common Multiple of 6247 and 6258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6247 and 6258, than apply into the LCM equation.

GCF(6247,6258) = 1
LCM(6247,6258) = ( 6247 × 6258) / 1
LCM(6247,6258) = 39093726 / 1
LCM(6247,6258) = 39093726

Least Common Multiple (LCM) of 6247 and 6258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6247 and 6258. First we will calculate the prime factors of 6247 and 6258.

Prime Factorization of 6247

Prime factors of 6247 are 6247. Prime factorization of 6247 in exponential form is:

6247 = 62471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6247 and 6258.

LCM(6247,6258) = 62471 × 21 × 31 × 71 × 1491
LCM(6247,6258) = 39093726