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What is the Least Common Multiple of 7867 and 7886?

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 7867 and 7886 is 62039162.

LCM(7867,7886) = 62039162

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Least Common Multiple of 7867 and 7886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7867 and 7886, than apply into the LCM equation.

GCF(7867,7886) = 1
LCM(7867,7886) = ( 7867 × 7886) / 1
LCM(7867,7886) = 62039162 / 1
LCM(7867,7886) = 62039162

Least Common Multiple (LCM) of 7867 and 7886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7867 and 7886. First we will calculate the prime factors of 7867 and 7886.

Prime Factorization of 7867

Prime factors of 7867 are 7867. Prime factorization of 7867 in exponential form is:

7867 = 78671

Prime Factorization of 7886

Prime factors of 7886 are 2, 3943. Prime factorization of 7886 in exponential form is:

7886 = 21 × 39431

Now multiplying the highest exponent prime factors to calculate the LCM of 7867 and 7886.

LCM(7867,7886) = 78671 × 21 × 39431
LCM(7867,7886) = 62039162