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What is the Least Common Multiple of 3782 and 3801?

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 3782 and 3801 is 14375382.

LCM(3782,3801) = 14375382

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Least Common Multiple of 3782 and 3801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3782 and 3801, than apply into the LCM equation.

GCF(3782,3801) = 1
LCM(3782,3801) = ( 3782 × 3801) / 1
LCM(3782,3801) = 14375382 / 1
LCM(3782,3801) = 14375382

Least Common Multiple (LCM) of 3782 and 3801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3782 and 3801. First we will calculate the prime factors of 3782 and 3801.

Prime Factorization of 3782

Prime factors of 3782 are 2, 31, 61. Prime factorization of 3782 in exponential form is:

3782 = 21 × 311 × 611

Prime Factorization of 3801

Prime factors of 3801 are 3, 7, 181. Prime factorization of 3801 in exponential form is:

3801 = 31 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3782 and 3801.

LCM(3782,3801) = 21 × 311 × 611 × 31 × 71 × 1811
LCM(3782,3801) = 14375382