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What is the Least Common Multiple of 1771 and 1784?

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 1771 and 1784 is 3159464.

LCM(1771,1784) = 3159464

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Least Common Multiple of 1771 and 1784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1771 and 1784, than apply into the LCM equation.

GCF(1771,1784) = 1
LCM(1771,1784) = ( 1771 × 1784) / 1
LCM(1771,1784) = 3159464 / 1
LCM(1771,1784) = 3159464

Least Common Multiple (LCM) of 1771 and 1784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1771 and 1784. First we will calculate the prime factors of 1771 and 1784.

Prime Factorization of 1771

Prime factors of 1771 are 7, 11, 23. Prime factorization of 1771 in exponential form is:

1771 = 71 × 111 × 231

Prime Factorization of 1784

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

1784 = 23 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 1771 and 1784.

LCM(1771,1784) = 71 × 111 × 231 × 23 × 2231
LCM(1771,1784) = 3159464