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What is the Least Common Multiple of 1792 and 1796?

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 1796 is 804608.

LCM(1792,1796) = 804608

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Least Common Multiple of 1792 and 1796 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 1796, than apply into the LCM equation.

GCF(1792,1796) = 4
LCM(1792,1796) = ( 1792 × 1796) / 4
LCM(1792,1796) = 3218432 / 4
LCM(1792,1796) = 804608

Least Common Multiple (LCM) of 1792 and 1796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1792 and 1796. First we will calculate the prime factors of 1792 and 1796.

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 1796

Prime factors of 1796 are 2, 449. Prime factorization of 1796 in exponential form is:

1796 = 22 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 1792 and 1796.

LCM(1792,1796) = 28 × 71 × 4491
LCM(1792,1796) = 804608