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What is the Least Common Multiple of 6294 and 6308?

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 6294 and 6308 is 19851276.

LCM(6294,6308) = 19851276

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Least Common Multiple of 6294 and 6308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6294 and 6308, than apply into the LCM equation.

GCF(6294,6308) = 2
LCM(6294,6308) = ( 6294 × 6308) / 2
LCM(6294,6308) = 39702552 / 2
LCM(6294,6308) = 19851276

Least Common Multiple (LCM) of 6294 and 6308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6294 and 6308. First we will calculate the prime factors of 6294 and 6308.

Prime Factorization of 6294

Prime factors of 6294 are 2, 3, 1049. Prime factorization of 6294 in exponential form is:

6294 = 21 × 31 × 10491

Prime Factorization of 6308

Prime factors of 6308 are 2, 19, 83. Prime factorization of 6308 in exponential form is:

6308 = 22 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 6294 and 6308.

LCM(6294,6308) = 22 × 31 × 10491 × 191 × 831
LCM(6294,6308) = 19851276