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What is the Least Common Multiple of 1844 and 1858?

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 1844 and 1858 is 1713076.

LCM(1844,1858) = 1713076

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Least Common Multiple of 1844 and 1858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1844 and 1858, than apply into the LCM equation.

GCF(1844,1858) = 2
LCM(1844,1858) = ( 1844 × 1858) / 2
LCM(1844,1858) = 3426152 / 2
LCM(1844,1858) = 1713076

Least Common Multiple (LCM) of 1844 and 1858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1844 and 1858. First we will calculate the prime factors of 1844 and 1858.

Prime Factorization of 1844

Prime factors of 1844 are 2, 461. Prime factorization of 1844 in exponential form is:

1844 = 22 × 4611

Prime Factorization of 1858

Prime factors of 1858 are 2, 929. Prime factorization of 1858 in exponential form is:

1858 = 21 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 1844 and 1858.

LCM(1844,1858) = 22 × 4611 × 9291
LCM(1844,1858) = 1713076