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What is the Least Common Multiple of 6258 and 6270?

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 6270 is 6539610.

LCM(6258,6270) = 6539610

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Least Common Multiple of 6258 and 6270 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 6270, than apply into the LCM equation.

GCF(6258,6270) = 6
LCM(6258,6270) = ( 6258 × 6270) / 6
LCM(6258,6270) = 39237660 / 6
LCM(6258,6270) = 6539610

Least Common Multiple (LCM) of 6258 and 6270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6258 and 6270. First we will calculate the prime factors of 6258 and 6270.

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 6270

Prime factors of 6270 are 2, 3, 5, 11, 19. Prime factorization of 6270 in exponential form is:

6270 = 21 × 31 × 51 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 6258 and 6270.

LCM(6258,6270) = 21 × 31 × 71 × 1491 × 51 × 111 × 191
LCM(6258,6270) = 6539610