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What is the Least Common Multiple of 6438 and 6446?

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 6446 is 20749674.

LCM(6438,6446) = 20749674

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Least Common Multiple of 6438 and 6446 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 6446, than apply into the LCM equation.

GCF(6438,6446) = 2
LCM(6438,6446) = ( 6438 × 6446) / 2
LCM(6438,6446) = 41499348 / 2
LCM(6438,6446) = 20749674

Least Common Multiple (LCM) of 6438 and 6446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6438 and 6446. First we will calculate the prime factors of 6438 and 6446.

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 6446

Prime factors of 6446 are 2, 11, 293. Prime factorization of 6446 in exponential form is:

6446 = 21 × 111 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 6438 and 6446.

LCM(6438,6446) = 21 × 31 × 291 × 371 × 111 × 2931
LCM(6438,6446) = 20749674