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What is the Least Common Multiple of 6390 and 6394?

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 6390 and 6394 is 20428830.

LCM(6390,6394) = 20428830

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Least Common Multiple of 6390 and 6394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6390 and 6394, than apply into the LCM equation.

GCF(6390,6394) = 2
LCM(6390,6394) = ( 6390 × 6394) / 2
LCM(6390,6394) = 40857660 / 2
LCM(6390,6394) = 20428830

Least Common Multiple (LCM) of 6390 and 6394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6390 and 6394. First we will calculate the prime factors of 6390 and 6394.

Prime Factorization of 6390

Prime factors of 6390 are 2, 3, 5, 71. Prime factorization of 6390 in exponential form is:

6390 = 21 × 32 × 51 × 711

Prime Factorization of 6394

Prime factors of 6394 are 2, 23, 139. Prime factorization of 6394 in exponential form is:

6394 = 21 × 231 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 6390 and 6394.

LCM(6390,6394) = 21 × 32 × 51 × 711 × 231 × 1391
LCM(6390,6394) = 20428830