What is the Least Common Multiple of 9 and 27?

The Least Common Multiple (LCM) of 9 and 27 is 27. Since 27 is a multiple of 9.

There are two ways to find the LCM of 9 and 27. You can use the LCM Formula Calculation of Greatest Common Factor (GCF), or you can multiply the prime factors with the highest exponent factor. For the GCF formula, the LCM of 9 and 27 is (9 x 27) / 9 = 243 / 9 = 27. For the prime factorization method, the LCM of 9 and 27 is 3^3 = 27.

Least Common Multiple of 9 and 27

The Least Common Multiple (LCM) of 9 and 27 is 27. It is the smallest multiple that both 9 and 27 can divide into evenly. To find the LCM of 9 and 27, you can use either the LCM Formula Calculation of Greatest Common Factor (GCF) or the Prime Factorization Method. Using the LCM Formula Calculation of GCF, the LCM of 9 and 27 is (9 x 27) / 9 = 243 / 9 = 27. Using the Prime Factorization Method, the LCM of 9 and 27 is 3^3 = 27. The prime factorization of 9 is 3 x 3 and the prime factorization of 27 is 3 x 3 x 3. To find the LCM with this method, you need to multiply each factor the greater number of times it occurs in the prime factorization. In this case, 3 occurs twice in the prime factorization of 9 and three times in the prime factorization of 27, so the LCM is 3 x 3 x 3 = 27.

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