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What is the Least Common Multiple of 29689 and 29698?

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 29689 and 29698 is 881703922.

LCM(29689,29698) = 881703922

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Least Common Multiple of 29689 and 29698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29689 and 29698, than apply into the LCM equation.

GCF(29689,29698) = 1
LCM(29689,29698) = ( 29689 × 29698) / 1
LCM(29689,29698) = 881703922 / 1
LCM(29689,29698) = 881703922

Least Common Multiple (LCM) of 29689 and 29698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29689 and 29698. First we will calculate the prime factors of 29689 and 29698.

Prime Factorization of 29689

Prime factors of 29689 are 11, 2699. Prime factorization of 29689 in exponential form is:

29689 = 111 × 26991

Prime Factorization of 29698

Prime factors of 29698 are 2, 31, 479. Prime factorization of 29698 in exponential form is:

29698 = 21 × 311 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 29689 and 29698.

LCM(29689,29698) = 111 × 26991 × 21 × 311 × 4791
LCM(29689,29698) = 881703922