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What is the Least Common Multiple of 62681 and 62697?

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 62681 and 62697 is 3929910657.

LCM(62681,62697) = 3929910657

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Least Common Multiple of 62681 and 62697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62681 and 62697, than apply into the LCM equation.

GCF(62681,62697) = 1
LCM(62681,62697) = ( 62681 × 62697) / 1
LCM(62681,62697) = 3929910657 / 1
LCM(62681,62697) = 3929910657

Least Common Multiple (LCM) of 62681 and 62697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62681 and 62697. First we will calculate the prime factors of 62681 and 62697.

Prime Factorization of 62681

Prime factors of 62681 are 19, 3299. Prime factorization of 62681 in exponential form is:

62681 = 191 × 32991

Prime Factorization of 62697

Prime factors of 62697 are 3, 20899. Prime factorization of 62697 in exponential form is:

62697 = 31 × 208991

Now multiplying the highest exponent prime factors to calculate the LCM of 62681 and 62697.

LCM(62681,62697) = 191 × 32991 × 31 × 208991
LCM(62681,62697) = 3929910657