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What is the Least Common Multiple of 1814 and 1831?

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 1814 and 1831 is 3321434.

LCM(1814,1831) = 3321434

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Least Common Multiple of 1814 and 1831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1814 and 1831, than apply into the LCM equation.

GCF(1814,1831) = 1
LCM(1814,1831) = ( 1814 × 1831) / 1
LCM(1814,1831) = 3321434 / 1
LCM(1814,1831) = 3321434

Least Common Multiple (LCM) of 1814 and 1831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1814 and 1831. First we will calculate the prime factors of 1814 and 1831.

Prime Factorization of 1814

Prime factors of 1814 are 2, 907. Prime factorization of 1814 in exponential form is:

1814 = 21 × 9071

Prime Factorization of 1831

Prime factors of 1831 are 1831. Prime factorization of 1831 in exponential form is:

1831 = 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 1814 and 1831.

LCM(1814,1831) = 21 × 9071 × 18311
LCM(1814,1831) = 3321434