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What is the Least Common Multiple of 47681 and 47695?

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 47681 and 47695 is 2274145295.

LCM(47681,47695) = 2274145295

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Least Common Multiple of 47681 and 47695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47681 and 47695, than apply into the LCM equation.

GCF(47681,47695) = 1
LCM(47681,47695) = ( 47681 × 47695) / 1
LCM(47681,47695) = 2274145295 / 1
LCM(47681,47695) = 2274145295

Least Common Multiple (LCM) of 47681 and 47695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47681 and 47695. First we will calculate the prime factors of 47681 and 47695.

Prime Factorization of 47681

Prime factors of 47681 are 47681. Prime factorization of 47681 in exponential form is:

47681 = 476811

Prime Factorization of 47695

Prime factors of 47695 are 5, 9539. Prime factorization of 47695 in exponential form is:

47695 = 51 × 95391

Now multiplying the highest exponent prime factors to calculate the LCM of 47681 and 47695.

LCM(47681,47695) = 476811 × 51 × 95391
LCM(47681,47695) = 2274145295