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What is the Least Common Multiple of 3891 and 3898?

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 3891 and 3898 is 15167118.

LCM(3891,3898) = 15167118

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Least Common Multiple of 3891 and 3898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3891 and 3898, than apply into the LCM equation.

GCF(3891,3898) = 1
LCM(3891,3898) = ( 3891 × 3898) / 1
LCM(3891,3898) = 15167118 / 1
LCM(3891,3898) = 15167118

Least Common Multiple (LCM) of 3891 and 3898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3891 and 3898. First we will calculate the prime factors of 3891 and 3898.

Prime Factorization of 3891

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

3891 = 31 × 12971

Prime Factorization of 3898

Prime factors of 3898 are 2, 1949. Prime factorization of 3898 in exponential form is:

3898 = 21 × 19491

Now multiplying the highest exponent prime factors to calculate the LCM of 3891 and 3898.

LCM(3891,3898) = 31 × 12971 × 21 × 19491
LCM(3891,3898) = 15167118