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What is the Least Common Multiple of 3793 and 3798?

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 3793 and 3798 is 14405814.

LCM(3793,3798) = 14405814

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Least Common Multiple of 3793 and 3798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3793 and 3798, than apply into the LCM equation.

GCF(3793,3798) = 1
LCM(3793,3798) = ( 3793 × 3798) / 1
LCM(3793,3798) = 14405814 / 1
LCM(3793,3798) = 14405814

Least Common Multiple (LCM) of 3793 and 3798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3793 and 3798. First we will calculate the prime factors of 3793 and 3798.

Prime Factorization of 3793

Prime factors of 3793 are 3793. Prime factorization of 3793 in exponential form is:

3793 = 37931

Prime Factorization of 3798

Prime factors of 3798 are 2, 3, 211. Prime factorization of 3798 in exponential form is:

3798 = 21 × 32 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 3793 and 3798.

LCM(3793,3798) = 37931 × 21 × 32 × 2111
LCM(3793,3798) = 14405814