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What is the Least Common Multiple of 1823 and 1842?

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 1842 is 3357966.

LCM(1823,1842) = 3357966

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Least Common Multiple of 1823 and 1842 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 1842, than apply into the LCM equation.

GCF(1823,1842) = 1
LCM(1823,1842) = ( 1823 × 1842) / 1
LCM(1823,1842) = 3357966 / 1
LCM(1823,1842) = 3357966

Least Common Multiple (LCM) of 1823 and 1842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1823 and 1842. First we will calculate the prime factors of 1823 and 1842.

Prime Factorization of 1823

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

1823 = 18231

Prime Factorization of 1842

Prime factors of 1842 are 2, 3, 307. Prime factorization of 1842 in exponential form is:

1842 = 21 × 31 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 1823 and 1842.

LCM(1823,1842) = 18231 × 21 × 31 × 3071
LCM(1823,1842) = 3357966