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What is the Least Common Multiple of 1856 and 1868?

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 1856 and 1868 is 866752.

LCM(1856,1868) = 866752

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Least Common Multiple of 1856 and 1868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1856 and 1868, than apply into the LCM equation.

GCF(1856,1868) = 4
LCM(1856,1868) = ( 1856 × 1868) / 4
LCM(1856,1868) = 3467008 / 4
LCM(1856,1868) = 866752

Least Common Multiple (LCM) of 1856 and 1868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1856 and 1868. First we will calculate the prime factors of 1856 and 1868.

Prime Factorization of 1856

Prime factors of 1856 are 2, 29. Prime factorization of 1856 in exponential form is:

1856 = 26 × 291

Prime Factorization of 1868

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

1868 = 22 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 1856 and 1868.

LCM(1856,1868) = 26 × 291 × 4671
LCM(1856,1868) = 866752