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What is the Least Common Multiple of 29629 and 29636?

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 29629 and 29636 is 878085044.

LCM(29629,29636) = 878085044

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Least Common Multiple of 29629 and 29636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29629 and 29636, than apply into the LCM equation.

GCF(29629,29636) = 1
LCM(29629,29636) = ( 29629 × 29636) / 1
LCM(29629,29636) = 878085044 / 1
LCM(29629,29636) = 878085044

Least Common Multiple (LCM) of 29629 and 29636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29629 and 29636. First we will calculate the prime factors of 29629 and 29636.

Prime Factorization of 29629

Prime factors of 29629 are 29629. Prime factorization of 29629 in exponential form is:

29629 = 296291

Prime Factorization of 29636

Prime factors of 29636 are 2, 31, 239. Prime factorization of 29636 in exponential form is:

29636 = 22 × 311 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 29629 and 29636.

LCM(29629,29636) = 296291 × 22 × 311 × 2391
LCM(29629,29636) = 878085044