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What is the Least Common Multiple of 1803 and 1811?

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 1803 and 1811 is 3265233.

LCM(1803,1811) = 3265233

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Least Common Multiple of 1803 and 1811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1803 and 1811, than apply into the LCM equation.

GCF(1803,1811) = 1
LCM(1803,1811) = ( 1803 × 1811) / 1
LCM(1803,1811) = 3265233 / 1
LCM(1803,1811) = 3265233

Least Common Multiple (LCM) of 1803 and 1811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1803 and 1811. First we will calculate the prime factors of 1803 and 1811.

Prime Factorization of 1803

Prime factors of 1803 are 3, 601. Prime factorization of 1803 in exponential form is:

1803 = 31 × 6011

Prime Factorization of 1811

Prime factors of 1811 are 1811. Prime factorization of 1811 in exponential form is:

1811 = 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 1803 and 1811.

LCM(1803,1811) = 31 × 6011 × 18111
LCM(1803,1811) = 3265233