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What is the Least Common Multiple of 29704 and 29723?

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 29704 and 29723 is 882891992.

LCM(29704,29723) = 882891992

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Least Common Multiple of 29704 and 29723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29704 and 29723, than apply into the LCM equation.

GCF(29704,29723) = 1
LCM(29704,29723) = ( 29704 × 29723) / 1
LCM(29704,29723) = 882891992 / 1
LCM(29704,29723) = 882891992

Least Common Multiple (LCM) of 29704 and 29723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29704 and 29723. First we will calculate the prime factors of 29704 and 29723.

Prime Factorization of 29704

Prime factors of 29704 are 2, 47, 79. Prime factorization of 29704 in exponential form is:

29704 = 23 × 471 × 791

Prime Factorization of 29723

Prime factors of 29723 are 29723. Prime factorization of 29723 in exponential form is:

29723 = 297231

Now multiplying the highest exponent prime factors to calculate the LCM of 29704 and 29723.

LCM(29704,29723) = 23 × 471 × 791 × 297231
LCM(29704,29723) = 882891992