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What is the Least Common Multiple of 1784 and 1803?

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 1784 and 1803 is 3216552.

LCM(1784,1803) = 3216552

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Least Common Multiple of 1784 and 1803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1784 and 1803, than apply into the LCM equation.

GCF(1784,1803) = 1
LCM(1784,1803) = ( 1784 × 1803) / 1
LCM(1784,1803) = 3216552 / 1
LCM(1784,1803) = 3216552

Least Common Multiple (LCM) of 1784 and 1803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1784 and 1803. First we will calculate the prime factors of 1784 and 1803.

Prime Factorization of 1784

Prime factors of 1784 are 2, 223. Prime factorization of 1784 in exponential form is:

1784 = 23 × 2231

Prime Factorization of 1803

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

1803 = 31 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 1784 and 1803.

LCM(1784,1803) = 23 × 2231 × 31 × 6011
LCM(1784,1803) = 3216552