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What is the Least Common Multiple of 1772 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 1772 and 1784 is 790312.

LCM(1772,1784) = 790312

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Least Common Multiple of 1772 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 1772 and 1784, than apply into the LCM equation.

GCF(1772,1784) = 4
LCM(1772,1784) = ( 1772 × 1784) / 4
LCM(1772,1784) = 3161248 / 4
LCM(1772,1784) = 790312

Least Common Multiple (LCM) of 1772 and 1784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1772 and 1784. First we will calculate the prime factors of 1772 and 1784.

Prime Factorization of 1772

Prime factors of 1772 are 2, 443. Prime factorization of 1772 in exponential form is:

1772 = 22 × 4431

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 1772 and 1784.

LCM(1772,1784) = 23 × 4431 × 2231
LCM(1772,1784) = 790312