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What is the Least Common Multiple of 1423 and 1439?

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 1423 and 1439 is 2047697.

LCM(1423,1439) = 2047697

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Least Common Multiple of 1423 and 1439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1423 and 1439, than apply into the LCM equation.

GCF(1423,1439) = 1
LCM(1423,1439) = ( 1423 × 1439) / 1
LCM(1423,1439) = 2047697 / 1
LCM(1423,1439) = 2047697

Least Common Multiple (LCM) of 1423 and 1439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1423 and 1439. First we will calculate the prime factors of 1423 and 1439.

Prime Factorization of 1423

Prime factors of 1423 are 1423. Prime factorization of 1423 in exponential form is:

1423 = 14231

Prime Factorization of 1439

Prime factors of 1439 are 1439. Prime factorization of 1439 in exponential form is:

1439 = 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 1423 and 1439.

LCM(1423,1439) = 14231 × 14391
LCM(1423,1439) = 2047697