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What is the Least Common Multiple of 29817 and 29831?

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 29817 and 29831 is 889470927.

LCM(29817,29831) = 889470927

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Least Common Multiple of 29817 and 29831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29817 and 29831, than apply into the LCM equation.

GCF(29817,29831) = 1
LCM(29817,29831) = ( 29817 × 29831) / 1
LCM(29817,29831) = 889470927 / 1
LCM(29817,29831) = 889470927

Least Common Multiple (LCM) of 29817 and 29831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29817 and 29831. First we will calculate the prime factors of 29817 and 29831.

Prime Factorization of 29817

Prime factors of 29817 are 3, 3313. Prime factorization of 29817 in exponential form is:

29817 = 32 × 33131

Prime Factorization of 29831

Prime factors of 29831 are 23, 1297. Prime factorization of 29831 in exponential form is:

29831 = 231 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 29817 and 29831.

LCM(29817,29831) = 32 × 33131 × 231 × 12971
LCM(29817,29831) = 889470927