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What is the Least Common Multiple of 29647 and 29667?

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 29647 and 29667 is 879537549.

LCM(29647,29667) = 879537549

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Least Common Multiple of 29647 and 29667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29647 and 29667, than apply into the LCM equation.

GCF(29647,29667) = 1
LCM(29647,29667) = ( 29647 × 29667) / 1
LCM(29647,29667) = 879537549 / 1
LCM(29647,29667) = 879537549

Least Common Multiple (LCM) of 29647 and 29667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29647 and 29667. First we will calculate the prime factors of 29647 and 29667.

Prime Factorization of 29647

Prime factors of 29647 are 23, 1289. Prime factorization of 29647 in exponential form is:

29647 = 231 × 12891

Prime Factorization of 29667

Prime factors of 29667 are 3, 11, 29, 31. Prime factorization of 29667 in exponential form is:

29667 = 31 × 111 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 29647 and 29667.

LCM(29647,29667) = 231 × 12891 × 31 × 111 × 291 × 311
LCM(29647,29667) = 879537549