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What is the Least Common Multiple of 29699 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 29699 and 29714 is 882476086.

LCM(29699,29714) = 882476086

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Least Common Multiple of 29699 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 29699 and 29714, than apply into the LCM equation.

GCF(29699,29714) = 1
LCM(29699,29714) = ( 29699 × 29714) / 1
LCM(29699,29714) = 882476086 / 1
LCM(29699,29714) = 882476086

Least Common Multiple (LCM) of 29699 and 29714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29699 and 29714. First we will calculate the prime factors of 29699 and 29714.

Prime Factorization of 29699

Prime factors of 29699 are 17, 1747. Prime factorization of 29699 in exponential form is:

29699 = 171 × 17471

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 29699 and 29714.

LCM(29699,29714) = 171 × 17471 × 21 × 831 × 1791
LCM(29699,29714) = 882476086