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What is the Least Common Multiple of 7896 and 7902?

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 7896 and 7902 is 10399032.

LCM(7896,7902) = 10399032

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Least Common Multiple of 7896 and 7902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7896 and 7902, than apply into the LCM equation.

GCF(7896,7902) = 6
LCM(7896,7902) = ( 7896 × 7902) / 6
LCM(7896,7902) = 62394192 / 6
LCM(7896,7902) = 10399032

Least Common Multiple (LCM) of 7896 and 7902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7896 and 7902. First we will calculate the prime factors of 7896 and 7902.

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

Prime Factorization of 7902

Prime factors of 7902 are 2, 3, 439. Prime factorization of 7902 in exponential form is:

7902 = 21 × 32 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 7896 and 7902.

LCM(7896,7902) = 23 × 32 × 71 × 471 × 4391
LCM(7896,7902) = 10399032