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What is the Least Common Multiple of 29696 and 29703?

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 29696 and 29703 is 882060288.

LCM(29696,29703) = 882060288

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Least Common Multiple of 29696 and 29703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29696 and 29703, than apply into the LCM equation.

GCF(29696,29703) = 1
LCM(29696,29703) = ( 29696 × 29703) / 1
LCM(29696,29703) = 882060288 / 1
LCM(29696,29703) = 882060288

Least Common Multiple (LCM) of 29696 and 29703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29696 and 29703. First we will calculate the prime factors of 29696 and 29703.

Prime Factorization of 29696

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

29696 = 210 × 291

Prime Factorization of 29703

Prime factors of 29703 are 3, 9901. Prime factorization of 29703 in exponential form is:

29703 = 31 × 99011

Now multiplying the highest exponent prime factors to calculate the LCM of 29696 and 29703.

LCM(29696,29703) = 210 × 291 × 31 × 99011
LCM(29696,29703) = 882060288