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What is the Least Common Multiple of 1766 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 1766 and 1784 is 1575272.

LCM(1766,1784) = 1575272

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Least Common Multiple of 1766 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 1766 and 1784, than apply into the LCM equation.

GCF(1766,1784) = 2
LCM(1766,1784) = ( 1766 × 1784) / 2
LCM(1766,1784) = 3150544 / 2
LCM(1766,1784) = 1575272

Least Common Multiple (LCM) of 1766 and 1784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1766 and 1784. First we will calculate the prime factors of 1766 and 1784.

Prime Factorization of 1766

Prime factors of 1766 are 2, 883. Prime factorization of 1766 in exponential form is:

1766 = 21 × 8831

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 1766 and 1784.

LCM(1766,1784) = 23 × 8831 × 2231
LCM(1766,1784) = 1575272