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What is the Least Common Multiple of 29159 and 29163?

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 29159 and 29163 is 850363917.

LCM(29159,29163) = 850363917

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Least Common Multiple of 29159 and 29163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29159 and 29163, than apply into the LCM equation.

GCF(29159,29163) = 1
LCM(29159,29163) = ( 29159 × 29163) / 1
LCM(29159,29163) = 850363917 / 1
LCM(29159,29163) = 850363917

Least Common Multiple (LCM) of 29159 and 29163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29159 and 29163. First we will calculate the prime factors of 29159 and 29163.

Prime Factorization of 29159

Prime factors of 29159 are 13, 2243. Prime factorization of 29159 in exponential form is:

29159 = 131 × 22431

Prime Factorization of 29163

Prime factors of 29163 are 3, 9721. Prime factorization of 29163 in exponential form is:

29163 = 31 × 97211

Now multiplying the highest exponent prime factors to calculate the LCM of 29159 and 29163.

LCM(29159,29163) = 131 × 22431 × 31 × 97211
LCM(29159,29163) = 850363917