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What is the Least Common Multiple of 29786 and 29794?

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 29786 and 29794 is 443722042.

LCM(29786,29794) = 443722042

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Least Common Multiple of 29786 and 29794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29786 and 29794, than apply into the LCM equation.

GCF(29786,29794) = 2
LCM(29786,29794) = ( 29786 × 29794) / 2
LCM(29786,29794) = 887444084 / 2
LCM(29786,29794) = 443722042

Least Common Multiple (LCM) of 29786 and 29794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29786 and 29794. First we will calculate the prime factors of 29786 and 29794.

Prime Factorization of 29786

Prime factors of 29786 are 2, 53, 281. Prime factorization of 29786 in exponential form is:

29786 = 21 × 531 × 2811

Prime Factorization of 29794

Prime factors of 29794 are 2, 14897. Prime factorization of 29794 in exponential form is:

29794 = 21 × 148971

Now multiplying the highest exponent prime factors to calculate the LCM of 29786 and 29794.

LCM(29786,29794) = 21 × 531 × 2811 × 148971
LCM(29786,29794) = 443722042