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What is the Least Common Multiple of 6294 and 6302?

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 6302 is 19832394.

LCM(6294,6302) = 19832394

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Least Common Multiple of 6294 and 6302 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 6302, than apply into the LCM equation.

GCF(6294,6302) = 2
LCM(6294,6302) = ( 6294 × 6302) / 2
LCM(6294,6302) = 39664788 / 2
LCM(6294,6302) = 19832394

Least Common Multiple (LCM) of 6294 and 6302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6294 and 6302. First we will calculate the prime factors of 6294 and 6302.

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 6302

Prime factors of 6302 are 2, 23, 137. Prime factorization of 6302 in exponential form is:

6302 = 21 × 231 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6294 and 6302.

LCM(6294,6302) = 21 × 31 × 10491 × 231 × 1371
LCM(6294,6302) = 19832394