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What is the Least Common Multiple of 1438 and 1447?

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 1438 and 1447 is 2080786.

LCM(1438,1447) = 2080786

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Least Common Multiple of 1438 and 1447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1438 and 1447, than apply into the LCM equation.

GCF(1438,1447) = 1
LCM(1438,1447) = ( 1438 × 1447) / 1
LCM(1438,1447) = 2080786 / 1
LCM(1438,1447) = 2080786

Least Common Multiple (LCM) of 1438 and 1447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1438 and 1447. First we will calculate the prime factors of 1438 and 1447.

Prime Factorization of 1438

Prime factors of 1438 are 2, 719. Prime factorization of 1438 in exponential form is:

1438 = 21 × 7191

Prime Factorization of 1447

Prime factors of 1447 are 1447. Prime factorization of 1447 in exponential form is:

1447 = 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 1438 and 1447.

LCM(1438,1447) = 21 × 7191 × 14471
LCM(1438,1447) = 2080786