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What is the Least Common Multiple of 1786 and 1804?

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 1786 and 1804 is 1610972.

LCM(1786,1804) = 1610972

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Least Common Multiple of 1786 and 1804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1786 and 1804, than apply into the LCM equation.

GCF(1786,1804) = 2
LCM(1786,1804) = ( 1786 × 1804) / 2
LCM(1786,1804) = 3221944 / 2
LCM(1786,1804) = 1610972

Least Common Multiple (LCM) of 1786 and 1804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1786 and 1804. First we will calculate the prime factors of 1786 and 1804.

Prime Factorization of 1786

Prime factors of 1786 are 2, 19, 47. Prime factorization of 1786 in exponential form is:

1786 = 21 × 191 × 471

Prime Factorization of 1804

Prime factors of 1804 are 2, 11, 41. Prime factorization of 1804 in exponential form is:

1804 = 22 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1786 and 1804.

LCM(1786,1804) = 22 × 191 × 471 × 111 × 411
LCM(1786,1804) = 1610972