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What is the Least Common Multiple of 6438 and 6454?

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 6438 and 6454 is 20775426.

LCM(6438,6454) = 20775426

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Least Common Multiple of 6438 and 6454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6438 and 6454, than apply into the LCM equation.

GCF(6438,6454) = 2
LCM(6438,6454) = ( 6438 × 6454) / 2
LCM(6438,6454) = 41550852 / 2
LCM(6438,6454) = 20775426

Least Common Multiple (LCM) of 6438 and 6454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6454. First we will calculate the prime factors of 6438 and 6454.

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

Prime Factorization of 6454

Prime factors of 6454 are 2, 7, 461. Prime factorization of 6454 in exponential form is:

6454 = 21 × 71 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6454.

LCM(6438,6454) = 21 × 31 × 291 × 371 × 71 × 4611
LCM(6438,6454) = 20775426