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What is the Least Common Multiple of 1823 and 1834?

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 1823 and 1834 is 3343382.

LCM(1823,1834) = 3343382

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Least Common Multiple of 1823 and 1834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1823 and 1834, than apply into the LCM equation.

GCF(1823,1834) = 1
LCM(1823,1834) = ( 1823 × 1834) / 1
LCM(1823,1834) = 3343382 / 1
LCM(1823,1834) = 3343382

Least Common Multiple (LCM) of 1823 and 1834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1823 and 1834. First we will calculate the prime factors of 1823 and 1834.

Prime Factorization of 1823

Prime factors of 1823 are 1823. Prime factorization of 1823 in exponential form is:

1823 = 18231

Prime Factorization of 1834

Prime factors of 1834 are 2, 7, 131. Prime factorization of 1834 in exponential form is:

1834 = 21 × 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1823 and 1834.

LCM(1823,1834) = 18231 × 21 × 71 × 1311
LCM(1823,1834) = 3343382