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What is the Least Common Multiple of 3886 and 3891?

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 3886 and 3891 is 15120426.

LCM(3886,3891) = 15120426

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Least Common Multiple of 3886 and 3891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3886 and 3891, than apply into the LCM equation.

GCF(3886,3891) = 1
LCM(3886,3891) = ( 3886 × 3891) / 1
LCM(3886,3891) = 15120426 / 1
LCM(3886,3891) = 15120426

Least Common Multiple (LCM) of 3886 and 3891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3886 and 3891. First we will calculate the prime factors of 3886 and 3891.

Prime Factorization of 3886

Prime factors of 3886 are 2, 29, 67. Prime factorization of 3886 in exponential form is:

3886 = 21 × 291 × 671

Prime Factorization of 3891

Prime factors of 3891 are 3, 1297. Prime factorization of 3891 in exponential form is:

3891 = 31 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 3886 and 3891.

LCM(3886,3891) = 21 × 291 × 671 × 31 × 12971
LCM(3886,3891) = 15120426