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What is the Least Common Multiple of 6364 and 6370?

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 6364 and 6370 is 20269340.

LCM(6364,6370) = 20269340

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Least Common Multiple of 6364 and 6370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6364 and 6370, than apply into the LCM equation.

GCF(6364,6370) = 2
LCM(6364,6370) = ( 6364 × 6370) / 2
LCM(6364,6370) = 40538680 / 2
LCM(6364,6370) = 20269340

Least Common Multiple (LCM) of 6364 and 6370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6364 and 6370. First we will calculate the prime factors of 6364 and 6370.

Prime Factorization of 6364

Prime factors of 6364 are 2, 37, 43. Prime factorization of 6364 in exponential form is:

6364 = 22 × 371 × 431

Prime Factorization of 6370

Prime factors of 6370 are 2, 5, 7, 13. Prime factorization of 6370 in exponential form is:

6370 = 21 × 51 × 72 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 6364 and 6370.

LCM(6364,6370) = 22 × 371 × 431 × 51 × 72 × 131
LCM(6364,6370) = 20269340