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What is the Least Common Multiple of 1792 and 1798?

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 1792 and 1798 is 1611008.

LCM(1792,1798) = 1611008

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Least Common Multiple of 1792 and 1798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1792 and 1798, than apply into the LCM equation.

GCF(1792,1798) = 2
LCM(1792,1798) = ( 1792 × 1798) / 2
LCM(1792,1798) = 3222016 / 2
LCM(1792,1798) = 1611008

Least Common Multiple (LCM) of 1792 and 1798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1792 and 1798. First we will calculate the prime factors of 1792 and 1798.

Prime Factorization of 1792

Prime factors of 1792 are 2, 7. Prime factorization of 1792 in exponential form is:

1792 = 28 × 71

Prime Factorization of 1798

Prime factors of 1798 are 2, 29, 31. Prime factorization of 1798 in exponential form is:

1798 = 21 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 1792 and 1798.

LCM(1792,1798) = 28 × 71 × 291 × 311
LCM(1792,1798) = 1611008