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What is the Least Common Multiple of 7886 and 7901?

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 7886 and 7901 is 62307286.

LCM(7886,7901) = 62307286

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Least Common Multiple of 7886 and 7901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7886 and 7901, than apply into the LCM equation.

GCF(7886,7901) = 1
LCM(7886,7901) = ( 7886 × 7901) / 1
LCM(7886,7901) = 62307286 / 1
LCM(7886,7901) = 62307286

Least Common Multiple (LCM) of 7886 and 7901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7886 and 7901. First we will calculate the prime factors of 7886 and 7901.

Prime Factorization of 7886

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

7886 = 21 × 39431

Prime Factorization of 7901

Prime factors of 7901 are 7901. Prime factorization of 7901 in exponential form is:

7901 = 79011

Now multiplying the highest exponent prime factors to calculate the LCM of 7886 and 7901.

LCM(7886,7901) = 21 × 39431 × 79011
LCM(7886,7901) = 62307286