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What is the Least Common Multiple of 29916 and 29929?

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 29916 and 29929 is 895355964.

LCM(29916,29929) = 895355964

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Least Common Multiple of 29916 and 29929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29916 and 29929, than apply into the LCM equation.

GCF(29916,29929) = 1
LCM(29916,29929) = ( 29916 × 29929) / 1
LCM(29916,29929) = 895355964 / 1
LCM(29916,29929) = 895355964

Least Common Multiple (LCM) of 29916 and 29929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29916 and 29929. First we will calculate the prime factors of 29916 and 29929.

Prime Factorization of 29916

Prime factors of 29916 are 2, 3, 277. Prime factorization of 29916 in exponential form is:

29916 = 22 × 33 × 2771

Prime Factorization of 29929

Prime factors of 29929 are 173. Prime factorization of 29929 in exponential form is:

29929 = 1732

Now multiplying the highest exponent prime factors to calculate the LCM of 29916 and 29929.

LCM(29916,29929) = 22 × 33 × 2771 × 1732
LCM(29916,29929) = 895355964