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What is the Least Common Multiple of 1411 and 1421?

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 1411 and 1421 is 2005031.

LCM(1411,1421) = 2005031

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Least Common Multiple of 1411 and 1421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1411 and 1421, than apply into the LCM equation.

GCF(1411,1421) = 1
LCM(1411,1421) = ( 1411 × 1421) / 1
LCM(1411,1421) = 2005031 / 1
LCM(1411,1421) = 2005031

Least Common Multiple (LCM) of 1411 and 1421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1411 and 1421. First we will calculate the prime factors of 1411 and 1421.

Prime Factorization of 1411

Prime factors of 1411 are 17, 83. Prime factorization of 1411 in exponential form is:

1411 = 171 × 831

Prime Factorization of 1421

Prime factors of 1421 are 7, 29. Prime factorization of 1421 in exponential form is:

1421 = 72 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1411 and 1421.

LCM(1411,1421) = 171 × 831 × 72 × 291
LCM(1411,1421) = 2005031