I think it's easier to find the possible numbers that have a product of 72 first. These would be
1 and 72; 2 and 36; 3 and 24; 4 and 18; 6 and 12; 8 and 9
Now let's find the LCM's of each pair
1 and 72= 72; 2 and 36=36; 3 and 24= 24; 4 and 18=36; 6 and 12=12; 8 and 9=72
Actually, two pairs of numbers have both an LCM of 36 and a product of 72:
2 and 36; 4 and 18
35 and 36 are coprime (any pair of consecutive numbers must be). So lcm(35, 36) = 35*36 = 1260.
9 and 12
The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.
The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.
36 and 72 8 and 9
3 and 36 9 and 12
3 and 36 9 and 12
1 and 36 4 and 9
If the least common multiple (LCM) of two numbers is 36 and the greatest common factor (GCF) is 3, then the two numbers can be found by multiplying the GCF by the LCM. In this case, the pair of numbers would be 3 and 36, as 3 * 36 = 108.
Not always. The product of two numbers will always be a common multiple, but it will not always be least. The product of 4 and 9 is 36. The LCM of 4 and 9 is 36. The product of 4 and 8 is 32. The LCM of 4 and 8 is 16.
4 and 9
This was one of my homework question. The answer is 12 and 18. To do this-12:24,36,4818:36