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What is the Least Common Multiple of 29689 and 29693?

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 29693 is 881555477.

LCM(29689,29693) = 881555477

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Least Common Multiple of 29689 and 29693 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 29693, than apply into the LCM equation.

GCF(29689,29693) = 1
LCM(29689,29693) = ( 29689 × 29693) / 1
LCM(29689,29693) = 881555477 / 1
LCM(29689,29693) = 881555477

Least Common Multiple (LCM) of 29689 and 29693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29689 and 29693. First we will calculate the prime factors of 29689 and 29693.

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 29693

Prime factors of 29693 are 23, 1291. Prime factorization of 29693 in exponential form is:

29693 = 231 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 29689 and 29693.

LCM(29689,29693) = 111 × 26991 × 231 × 12911
LCM(29689,29693) = 881555477