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What is the Least Common Multiple of 3887 and 3899?

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 3887 and 3899 is 15155413.

LCM(3887,3899) = 15155413

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Least Common Multiple of 3887 and 3899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3887 and 3899, than apply into the LCM equation.

GCF(3887,3899) = 1
LCM(3887,3899) = ( 3887 × 3899) / 1
LCM(3887,3899) = 15155413 / 1
LCM(3887,3899) = 15155413

Least Common Multiple (LCM) of 3887 and 3899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3887 and 3899. First we will calculate the prime factors of 3887 and 3899.

Prime Factorization of 3887

Prime factors of 3887 are 13, 23. Prime factorization of 3887 in exponential form is:

3887 = 132 × 231

Prime Factorization of 3899

Prime factors of 3899 are 7, 557. Prime factorization of 3899 in exponential form is:

3899 = 71 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 3887 and 3899.

LCM(3887,3899) = 132 × 231 × 71 × 5571
LCM(3887,3899) = 15155413