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What is the Least Common Multiple of 29673 and 29684?

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 29684 is 880813332.

LCM(29673,29684) = 880813332

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Least Common Multiple of 29673 and 29684 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 29684, than apply into the LCM equation.

GCF(29673,29684) = 1
LCM(29673,29684) = ( 29673 × 29684) / 1
LCM(29673,29684) = 880813332 / 1
LCM(29673,29684) = 880813332

Least Common Multiple (LCM) of 29673 and 29684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29673 and 29684. First we will calculate the prime factors of 29673 and 29684.

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 29684

Prime factors of 29684 are 2, 41, 181. Prime factorization of 29684 in exponential form is:

29684 = 22 × 411 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 29673 and 29684.

LCM(29673,29684) = 33 × 71 × 1571 × 22 × 411 × 1811
LCM(29673,29684) = 880813332