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What is the Least Common Multiple of 29939 and 29946?

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 29939 and 29946 is 128079042.

LCM(29939,29946) = 128079042

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Least Common Multiple of 29939 and 29946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29939 and 29946, than apply into the LCM equation.

GCF(29939,29946) = 7
LCM(29939,29946) = ( 29939 × 29946) / 7
LCM(29939,29946) = 896553294 / 7
LCM(29939,29946) = 128079042

Least Common Multiple (LCM) of 29939 and 29946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29939 and 29946. First we will calculate the prime factors of 29939 and 29946.

Prime Factorization of 29939

Prime factors of 29939 are 7, 13, 47. Prime factorization of 29939 in exponential form is:

29939 = 72 × 131 × 471

Prime Factorization of 29946

Prime factors of 29946 are 2, 3, 7, 23, 31. Prime factorization of 29946 in exponential form is:

29946 = 21 × 31 × 71 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 29939 and 29946.

LCM(29939,29946) = 72 × 131 × 471 × 21 × 31 × 231 × 311
LCM(29939,29946) = 128079042