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What is the Least Common Multiple of 6370 and 6388?

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 6370 and 6388 is 20345780.

LCM(6370,6388) = 20345780

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Least Common Multiple of 6370 and 6388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6370 and 6388, than apply into the LCM equation.

GCF(6370,6388) = 2
LCM(6370,6388) = ( 6370 × 6388) / 2
LCM(6370,6388) = 40691560 / 2
LCM(6370,6388) = 20345780

Least Common Multiple (LCM) of 6370 and 6388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6370 and 6388. First we will calculate the prime factors of 6370 and 6388.

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

Prime Factorization of 6388

Prime factors of 6388 are 2, 1597. Prime factorization of 6388 in exponential form is:

6388 = 22 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 6370 and 6388.

LCM(6370,6388) = 22 × 51 × 72 × 131 × 15971
LCM(6370,6388) = 20345780