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What is the Least Common Multiple of 6286 and 6306?

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 6286 and 6306 is 19819758.

LCM(6286,6306) = 19819758

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Least Common Multiple of 6286 and 6306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6286 and 6306, than apply into the LCM equation.

GCF(6286,6306) = 2
LCM(6286,6306) = ( 6286 × 6306) / 2
LCM(6286,6306) = 39639516 / 2
LCM(6286,6306) = 19819758

Least Common Multiple (LCM) of 6286 and 6306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6286 and 6306. First we will calculate the prime factors of 6286 and 6306.

Prime Factorization of 6286

Prime factors of 6286 are 2, 7, 449. Prime factorization of 6286 in exponential form is:

6286 = 21 × 71 × 4491

Prime Factorization of 6306

Prime factors of 6306 are 2, 3, 1051. Prime factorization of 6306 in exponential form is:

6306 = 21 × 31 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 6286 and 6306.

LCM(6286,6306) = 21 × 71 × 4491 × 31 × 10511
LCM(6286,6306) = 19819758