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What is the Least Common Multiple of 41681 and 41696?

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 41681 and 41696 is 1737930976.

LCM(41681,41696) = 1737930976

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Least Common Multiple of 41681 and 41696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41681 and 41696, than apply into the LCM equation.

GCF(41681,41696) = 1
LCM(41681,41696) = ( 41681 × 41696) / 1
LCM(41681,41696) = 1737930976 / 1
LCM(41681,41696) = 1737930976

Least Common Multiple (LCM) of 41681 and 41696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41681 and 41696. First we will calculate the prime factors of 41681 and 41696.

Prime Factorization of 41681

Prime factors of 41681 are 41681. Prime factorization of 41681 in exponential form is:

41681 = 416811

Prime Factorization of 41696

Prime factors of 41696 are 2, 1303. Prime factorization of 41696 in exponential form is:

41696 = 25 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 41681 and 41696.

LCM(41681,41696) = 416811 × 25 × 13031
LCM(41681,41696) = 1737930976