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What is the Least Common Multiple of 1419 and 1423?

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 1419 and 1423 is 2019237.

LCM(1419,1423) = 2019237

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Least Common Multiple of 1419 and 1423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1419 and 1423, than apply into the LCM equation.

GCF(1419,1423) = 1
LCM(1419,1423) = ( 1419 × 1423) / 1
LCM(1419,1423) = 2019237 / 1
LCM(1419,1423) = 2019237

Least Common Multiple (LCM) of 1419 and 1423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1419 and 1423. First we will calculate the prime factors of 1419 and 1423.

Prime Factorization of 1419

Prime factors of 1419 are 3, 11, 43. Prime factorization of 1419 in exponential form is:

1419 = 31 × 111 × 431

Prime Factorization of 1423

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

1423 = 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 1419 and 1423.

LCM(1419,1423) = 31 × 111 × 431 × 14231
LCM(1419,1423) = 2019237