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What is the Least Common Multiple of 1857 and 1873?

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 1857 and 1873 is 3478161.

LCM(1857,1873) = 3478161

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Least Common Multiple of 1857 and 1873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1857 and 1873, than apply into the LCM equation.

GCF(1857,1873) = 1
LCM(1857,1873) = ( 1857 × 1873) / 1
LCM(1857,1873) = 3478161 / 1
LCM(1857,1873) = 3478161

Least Common Multiple (LCM) of 1857 and 1873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1857 and 1873. First we will calculate the prime factors of 1857 and 1873.

Prime Factorization of 1857

Prime factors of 1857 are 3, 619. Prime factorization of 1857 in exponential form is:

1857 = 31 × 6191

Prime Factorization of 1873

Prime factors of 1873 are 1873. Prime factorization of 1873 in exponential form is:

1873 = 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 1857 and 1873.

LCM(1857,1873) = 31 × 6191 × 18731
LCM(1857,1873) = 3478161