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What is the Least Common Multiple of 29681 and 29696?

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 29681 and 29696 is 881406976.

LCM(29681,29696) = 881406976

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Least Common Multiple of 29681 and 29696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29681 and 29696, than apply into the LCM equation.

GCF(29681,29696) = 1
LCM(29681,29696) = ( 29681 × 29696) / 1
LCM(29681,29696) = 881406976 / 1
LCM(29681,29696) = 881406976

Least Common Multiple (LCM) of 29681 and 29696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29681 and 29696. First we will calculate the prime factors of 29681 and 29696.

Prime Factorization of 29681

Prime factors of 29681 are 67, 443. Prime factorization of 29681 in exponential form is:

29681 = 671 × 4431

Prime Factorization of 29696

Prime factors of 29696 are 2, 29. Prime factorization of 29696 in exponential form is:

29696 = 210 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 29681 and 29696.

LCM(29681,29696) = 671 × 4431 × 210 × 291
LCM(29681,29696) = 881406976