If the least common multiple of two numbers equals the product of the two numbers, then the numbers are relatively prime, that is their highest common factor is 1.
For example, the numbers 10 and 21:
The lcm is 10 x 21 = 210
They are relatively prime since their hcf is 1.
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16 and 25 23 and 47 27 and 50
Sure thing, honey. Here are three pairs of numbers for you: (1, 1), (2, 2), and (3, 3). In each of these cases, the Least Common Multiple (LCM) equals the product of the two numbers because, well, they're the same darn numbers! It's simple math, darling.
(65,2)(26,5)(13,10)
To find the least common multiple (LCM) of 5, 25, and 125, we first need to identify the prime factors of each number. The prime factors of 5 are 5, 25 are 5^2, and 125 are 5^3. The LCM is the product of the highest power of each prime factor that appears in any of the numbers. Therefore, the LCM of 5, 25, and 125 is 5^3, which equals 125.
If the product of three numbers is 140, then we can write 140 as aXbXc. Let a be 10 and let b be 2. Then 140 equals 10X2Xc, or 7 equals c. Thus, the remaining number is 7.