Name a number that can be evenly divided by 6 and 7
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42 is evenly divisible by both 6 and 7
name a number that can be evenly divided by 6 and 7
600
To find a number that can be evenly divided by both 6 and 7, we need to determine the least common multiple (LCM) of these two numbers.
Step 1: Prime Factorization
Let's start by finding the prime factors of both 6 and 7:
- Prime factors of 6: 2 x 3
- Prime factors of 7: 7
Step 2: LCM Calculation
To calculate the LCM, we need to take the highest power of each prime factor that appears in the prime factorization of either number.
- Highest power of 2: 2^1
- Highest power of 3: 3^1
- Highest power of 7: 7^1
Now, multiply these powers together: LCM = 2^1 x 3^1 x 7^1
Simplifying the expression, we get: LCM = 2 x 3 x 7 = 42.
Therefore, the least common multiple (LCM) of 6 and 7 is 42. Thus, any multiple of 42, like 42, 84, 126, etc., can be evenly divided by both 6 and 7.