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The prime factorization of 32 is 2x2x2x2x2 or 25. The prime factorization of 40 is 2x2x2x5 or 23x5. For a number to be a multiple of a given number the multiple must have the entire prime factorization of that number in is. So a multiple of 32 must contain 2x2x2x2x2 or 25 . Likewise a multiple of 40 must contain 2x2x2x5 or 23x5. The least number that this could possible happen with must have 5 factors of 2 and one factor of 5 (the highest exponent on each individual prime factor). Thus the LCM is 2x2x2x2x2x5 or 25x5 Which is 160.
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What is the prime factorization of 40 using exponentiWhat is the prime factorization of 45 using exponential notation?
23 x 5 = 40 32 x 5 = 45
What is the LCM of 6 and 40?
The Least Common Multiple (LCM) of 6 and 40 is the smallest number that both 6 and 40 can divide into evenly. To find the LCM, we need to determine the prime factors of each number. The prime factorization of 6 is 2 x 3, and the prime factorization of 40 is 2^3 x 5. To find the LCM, we take the highest power of each prime factor that appears in either number, which gives us 2^3 x 3 x 5 = 120. Therefore, the LCM of 6 and 40 is 120.
What is the LCM of 4 and 5 and 8 and 10?
To find the Least Common Multiple (LCM) of 4, 5, 8, and 10, we first need to find the prime factorization of each number. The prime factorization of 4 is 2^2, 5 is a prime number, 8 is 2^3, and 10 is 2 * 5. Then, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 5 = 40. Therefore, the LCM of 4, 5, 8, and 10 is 40.
LCM of 40 and 32?
The LCM of 32 and 40 is 160
What is the least common multiple of 40 80 and 128?
The least common multiple (LCM) of 40, 80, and 128 is 640. To find the LCM, you can find the prime factors of each number and then take the highest power of each prime factor that appears in any of the numbers. In this case, the prime factorization of 40 is 2^3 * 5, the prime factorization of 80 is 2^4 * 5, and the prime factorization of 128 is 2^7. Taking the highest powers, we get 2^7 * 5 = 640.
