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What is the LCM of 18 and 30 using prime factorization?
To find the Least Common Multiple (LCM) of 18 and 30 using prime factorization, we first need to break down each number into its prime factors. The prime factorization of 18 is 2 x 3^2, and the prime factorization of 30 is 2 x 3 x 5. To find the LCM, we take the highest power of each prime factor that appears in either factorization. Therefore, the LCM of 18 and 30 is 2 x 3^2 x 5, which equals 90.
What is the least common multiple of 18 and 24?
To find the least common multiple (LCM) of 18 and 24, we first need to find the prime factorization of each number. The prime factorization of 18 is 2 x 3^2 and the prime factorization of 24 is 2^3 x 3. To find the LCM, we take the highest power of each prime factor that appears in either factorization, which gives us 2^3 x 3^2 = 72. Therefore, the least common multiple of 18 and 24 is 72.
Using prime factorization find the LCM of 18 and 21?
2 x 3 x 3 = 18 3 x 7 = 21 2 x 3 x 3 x 7 = 126, the LCM
What is the least common multiple of 16 18 and 20?
To find the least common multiple (LCM) of 16, 18, and 20, we first need to find the prime factorization of each number. The prime factorization of 16 is 2^4, 18 is 2 * 3^2, and 20 is 2^2 * 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^4 * 3^2 * 5 = 720. Therefore, the least common multiple of 16, 18, and 20 is 720.
What is the gcf and the LCM of 18 and 20 using prime factorization?
2 x 3 x 3 = 18 2 x 2 x 5 = 20 The GCF is 2. The LCM is 180.
