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What is the Least Common Multiple of 29929 and 29943?

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 29929 and 29943 is 896164047.

LCM(29929,29943) = 896164047

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Least Common Multiple of 29929 and 29943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29929 and 29943, than apply into the LCM equation.

GCF(29929,29943) = 1
LCM(29929,29943) = ( 29929 × 29943) / 1
LCM(29929,29943) = 896164047 / 1
LCM(29929,29943) = 896164047

Least Common Multiple (LCM) of 29929 and 29943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29929 and 29943. First we will calculate the prime factors of 29929 and 29943.

Prime Factorization of 29929

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

29929 = 1732

Prime Factorization of 29943

Prime factors of 29943 are 3, 1109. Prime factorization of 29943 in exponential form is:

29943 = 33 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 29929 and 29943.

LCM(29929,29943) = 1732 × 33 × 11091
LCM(29929,29943) = 896164047