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What is the Least Common Multiple of 1868 and 1878?

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 1868 and 1878 is 1754052.

LCM(1868,1878) = 1754052

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Least Common Multiple of 1868 and 1878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1868 and 1878, than apply into the LCM equation.

GCF(1868,1878) = 2
LCM(1868,1878) = ( 1868 × 1878) / 2
LCM(1868,1878) = 3508104 / 2
LCM(1868,1878) = 1754052

Least Common Multiple (LCM) of 1868 and 1878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1868 and 1878. First we will calculate the prime factors of 1868 and 1878.

Prime Factorization of 1868

Prime factors of 1868 are 2, 467. Prime factorization of 1868 in exponential form is:

1868 = 22 × 4671

Prime Factorization of 1878

Prime factors of 1878 are 2, 3, 313. Prime factorization of 1878 in exponential form is:

1878 = 21 × 31 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 1868 and 1878.

LCM(1868,1878) = 22 × 4671 × 31 × 3131
LCM(1868,1878) = 1754052