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What is the Least Common Multiple of 29799 and 29819?

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 29799 and 29819 is 888576381.

LCM(29799,29819) = 888576381

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Least Common Multiple of 29799 and 29819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29799 and 29819, than apply into the LCM equation.

GCF(29799,29819) = 1
LCM(29799,29819) = ( 29799 × 29819) / 1
LCM(29799,29819) = 888576381 / 1
LCM(29799,29819) = 888576381

Least Common Multiple (LCM) of 29799 and 29819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29799 and 29819. First we will calculate the prime factors of 29799 and 29819.

Prime Factorization of 29799

Prime factors of 29799 are 3, 7, 11, 43. Prime factorization of 29799 in exponential form is:

29799 = 32 × 71 × 111 × 431

Prime Factorization of 29819

Prime factors of 29819 are 29819. Prime factorization of 29819 in exponential form is:

29819 = 298191

Now multiplying the highest exponent prime factors to calculate the LCM of 29799 and 29819.

LCM(29799,29819) = 32 × 71 × 111 × 431 × 298191
LCM(29799,29819) = 888576381