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
18 and 4
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.
1 and 36 4 and 9
3 and 36 9 and 12
36 and 72 8 and 9
3 and 36 9 and 12
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
They are 9 and 4