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What is the Least Common Multiple of 29405 and 29416?

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 29405 and 29416 is 864977480.

LCM(29405,29416) = 864977480

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Least Common Multiple of 29405 and 29416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29405 and 29416, than apply into the LCM equation.

GCF(29405,29416) = 1
LCM(29405,29416) = ( 29405 × 29416) / 1
LCM(29405,29416) = 864977480 / 1
LCM(29405,29416) = 864977480

Least Common Multiple (LCM) of 29405 and 29416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29405 and 29416. First we will calculate the prime factors of 29405 and 29416.

Prime Factorization of 29405

Prime factors of 29405 are 5, 5881. Prime factorization of 29405 in exponential form is:

29405 = 51 × 58811

Prime Factorization of 29416

Prime factors of 29416 are 2, 3677. Prime factorization of 29416 in exponential form is:

29416 = 23 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 29405 and 29416.

LCM(29405,29416) = 51 × 58811 × 23 × 36771
LCM(29405,29416) = 864977480