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What is the Least Common Multiple of 29673 and 29689?

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 29673 and 29689 is 880961697.

LCM(29673,29689) = 880961697

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Least Common Multiple of 29673 and 29689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29673 and 29689, than apply into the LCM equation.

GCF(29673,29689) = 1
LCM(29673,29689) = ( 29673 × 29689) / 1
LCM(29673,29689) = 880961697 / 1
LCM(29673,29689) = 880961697

Least Common Multiple (LCM) of 29673 and 29689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29673 and 29689. First we will calculate the prime factors of 29673 and 29689.

Prime Factorization of 29673

Prime factors of 29673 are 3, 7, 157. Prime factorization of 29673 in exponential form is:

29673 = 33 × 71 × 1571

Prime Factorization of 29689

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

29689 = 111 × 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 29673 and 29689.

LCM(29673,29689) = 33 × 71 × 1571 × 111 × 26991
LCM(29673,29689) = 880961697