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What is the Least Common Multiple of 7883 and 7896?

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 7883 and 7896 is 62244168.

LCM(7883,7896) = 62244168

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Least Common Multiple of 7883 and 7896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7883 and 7896, than apply into the LCM equation.

GCF(7883,7896) = 1
LCM(7883,7896) = ( 7883 × 7896) / 1
LCM(7883,7896) = 62244168 / 1
LCM(7883,7896) = 62244168

Least Common Multiple (LCM) of 7883 and 7896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7883 and 7896. First we will calculate the prime factors of 7883 and 7896.

Prime Factorization of 7883

Prime factors of 7883 are 7883. Prime factorization of 7883 in exponential form is:

7883 = 78831

Prime Factorization of 7896

Prime factors of 7896 are 2, 3, 7, 47. Prime factorization of 7896 in exponential form is:

7896 = 23 × 31 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 7883 and 7896.

LCM(7883,7896) = 78831 × 23 × 31 × 71 × 471
LCM(7883,7896) = 62244168