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What is the Least Common Multiple of 7895 and 7904?

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 7895 and 7904 is 62402080.

LCM(7895,7904) = 62402080

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Least Common Multiple of 7895 and 7904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7895 and 7904, than apply into the LCM equation.

GCF(7895,7904) = 1
LCM(7895,7904) = ( 7895 × 7904) / 1
LCM(7895,7904) = 62402080 / 1
LCM(7895,7904) = 62402080

Least Common Multiple (LCM) of 7895 and 7904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7895 and 7904. First we will calculate the prime factors of 7895 and 7904.

Prime Factorization of 7895

Prime factors of 7895 are 5, 1579. Prime factorization of 7895 in exponential form is:

7895 = 51 × 15791

Prime Factorization of 7904

Prime factors of 7904 are 2, 13, 19. Prime factorization of 7904 in exponential form is:

7904 = 25 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 7895 and 7904.

LCM(7895,7904) = 51 × 15791 × 25 × 131 × 191
LCM(7895,7904) = 62402080