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What is the Least Common Multiple of 6353 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 6353 and 6370 is 40468610.

LCM(6353,6370) = 40468610

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Least Common Multiple of 6353 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 6353 and 6370, than apply into the LCM equation.

GCF(6353,6370) = 1
LCM(6353,6370) = ( 6353 × 6370) / 1
LCM(6353,6370) = 40468610 / 1
LCM(6353,6370) = 40468610

Least Common Multiple (LCM) of 6353 and 6370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6353 and 6370. First we will calculate the prime factors of 6353 and 6370.

Prime Factorization of 6353

Prime factors of 6353 are 6353. Prime factorization of 6353 in exponential form is:

6353 = 63531

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 6353 and 6370.

LCM(6353,6370) = 63531 × 21 × 51 × 72 × 131
LCM(6353,6370) = 40468610