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What is the Least Common Multiple of 29708 and 29714?

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 29708 and 29714 is 441371756.

LCM(29708,29714) = 441371756

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Least Common Multiple of 29708 and 29714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29708 and 29714, than apply into the LCM equation.

GCF(29708,29714) = 2
LCM(29708,29714) = ( 29708 × 29714) / 2
LCM(29708,29714) = 882743512 / 2
LCM(29708,29714) = 441371756

Least Common Multiple (LCM) of 29708 and 29714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29708 and 29714. First we will calculate the prime factors of 29708 and 29714.

Prime Factorization of 29708

Prime factors of 29708 are 2, 7, 1061. Prime factorization of 29708 in exponential form is:

29708 = 22 × 71 × 10611

Prime Factorization of 29714

Prime factors of 29714 are 2, 83, 179. Prime factorization of 29714 in exponential form is:

29714 = 21 × 831 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 29708 and 29714.

LCM(29708,29714) = 22 × 71 × 10611 × 831 × 1791
LCM(29708,29714) = 441371756