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What is the Least Common Multiple of 6430 and 6438?

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 6430 and 6438 is 20698170.

LCM(6430,6438) = 20698170

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Least Common Multiple of 6430 and 6438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6430 and 6438, than apply into the LCM equation.

GCF(6430,6438) = 2
LCM(6430,6438) = ( 6430 × 6438) / 2
LCM(6430,6438) = 41396340 / 2
LCM(6430,6438) = 20698170

Least Common Multiple (LCM) of 6430 and 6438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6430 and 6438. First we will calculate the prime factors of 6430 and 6438.

Prime Factorization of 6430

Prime factors of 6430 are 2, 5, 643. Prime factorization of 6430 in exponential form is:

6430 = 21 × 51 × 6431

Prime Factorization of 6438

Prime factors of 6438 are 2, 3, 29, 37. Prime factorization of 6438 in exponential form is:

6438 = 21 × 31 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 6430 and 6438.

LCM(6430,6438) = 21 × 51 × 6431 × 31 × 291 × 371
LCM(6430,6438) = 20698170