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What is the Least Common Multiple of 7882 and 7897?

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 7882 and 7897 is 62244154.

LCM(7882,7897) = 62244154

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Least Common Multiple of 7882 and 7897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7882 and 7897, than apply into the LCM equation.

GCF(7882,7897) = 1
LCM(7882,7897) = ( 7882 × 7897) / 1
LCM(7882,7897) = 62244154 / 1
LCM(7882,7897) = 62244154

Least Common Multiple (LCM) of 7882 and 7897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7882 and 7897. First we will calculate the prime factors of 7882 and 7897.

Prime Factorization of 7882

Prime factors of 7882 are 2, 7, 563. Prime factorization of 7882 in exponential form is:

7882 = 21 × 71 × 5631

Prime Factorization of 7897

Prime factors of 7897 are 53, 149. Prime factorization of 7897 in exponential form is:

7897 = 531 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7882 and 7897.

LCM(7882,7897) = 21 × 71 × 5631 × 531 × 1491
LCM(7882,7897) = 62244154