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What is the Least Common Multiple of 3781 and 3797?

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 3781 and 3797 is 14356457.

LCM(3781,3797) = 14356457

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Least Common Multiple of 3781 and 3797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3781 and 3797, than apply into the LCM equation.

GCF(3781,3797) = 1
LCM(3781,3797) = ( 3781 × 3797) / 1
LCM(3781,3797) = 14356457 / 1
LCM(3781,3797) = 14356457

Least Common Multiple (LCM) of 3781 and 3797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3781 and 3797. First we will calculate the prime factors of 3781 and 3797.

Prime Factorization of 3781

Prime factors of 3781 are 19, 199. Prime factorization of 3781 in exponential form is:

3781 = 191 × 1991

Prime Factorization of 3797

Prime factors of 3797 are 3797. Prime factorization of 3797 in exponential form is:

3797 = 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 3781 and 3797.

LCM(3781,3797) = 191 × 1991 × 37971
LCM(3781,3797) = 14356457