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What is the Least Common Multiple of 3801 and 3813?

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 3801 and 3813 is 4831071.

LCM(3801,3813) = 4831071

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Least Common Multiple of 3801 and 3813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3801 and 3813, than apply into the LCM equation.

GCF(3801,3813) = 3
LCM(3801,3813) = ( 3801 × 3813) / 3
LCM(3801,3813) = 14493213 / 3
LCM(3801,3813) = 4831071

Least Common Multiple (LCM) of 3801 and 3813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3801 and 3813. First we will calculate the prime factors of 3801 and 3813.

Prime Factorization of 3801

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

3801 = 31 × 71 × 1811

Prime Factorization of 3813

Prime factors of 3813 are 3, 31, 41. Prime factorization of 3813 in exponential form is:

3813 = 31 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 3801 and 3813.

LCM(3801,3813) = 31 × 71 × 1811 × 311 × 411
LCM(3801,3813) = 4831071