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What is the Least Common Multiple of 29663 and 29669?

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 29663 and 29669 is 880071547.

LCM(29663,29669) = 880071547

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Least Common Multiple of 29663 and 29669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29663 and 29669, than apply into the LCM equation.

GCF(29663,29669) = 1
LCM(29663,29669) = ( 29663 × 29669) / 1
LCM(29663,29669) = 880071547 / 1
LCM(29663,29669) = 880071547

Least Common Multiple (LCM) of 29663 and 29669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29663 and 29669. First we will calculate the prime factors of 29663 and 29669.

Prime Factorization of 29663

Prime factors of 29663 are 29663. Prime factorization of 29663 in exponential form is:

29663 = 296631

Prime Factorization of 29669

Prime factors of 29669 are 29669. Prime factorization of 29669 in exponential form is:

29669 = 296691

Now multiplying the highest exponent prime factors to calculate the LCM of 29663 and 29669.

LCM(29663,29669) = 296631 × 296691
LCM(29663,29669) = 880071547