Answer:
105
Step-by-step explanation:
A "set" is a group of numbers.
A "positive integer" is a whole number that's bigger than zero.
"divisible by both 15 and 35" means a number that 15 and 35 goes into (with no remainder)
"least" means smallest.
15 and 35 both go into 105.
The least positive integer that will be divisible by both 15 and 35 will be 105.
The given integers are 15 and 35.
As we know that the least positive integer that will be divisible by both 15 and 35 will be LCM( Least Common Multiple) of 15 and 35.
The least common multiple or LCM of two integers is the common multiple of two numbers such that it is the least among all common multiples.
For example, LCM of 3 and 5 will be 15 because, among all common multiples of 3 and 5, 15 is the least multiple.
For LCM of 15 and 35, let us write multiples of both the numbers
Multiples of 15 = 15,30,45,60,75,90,105,120,135,150,165,180,195,210..........
Multiples of 35 = 35,70,105,140,175,210.............
We can see that 105 and 210 are two common multiples out of which 105 is the least multiple.
Therefore, the least positive integer that will be divisible by both 15 and 35 will be 105.
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