What is LCM of 7 and 35?
LCM of 7 and 35 is the least number which is exactly divisible by both 7 and 35
Answer: LCM of 7 and 35 is 35
Let us explore more about the LCM of two numbers.
The least common multiple is the smallest number which is exactly divisible by both the given numbers.
We will use the following two methods to find the LCM of 7 and 35.
- LCM of 7 and 35 by Listing Method
- LCM of 7 and 35 by the theoretical method
Method 1: Find LCM of 7 and 35 by Listing Method
In this method, we list the first few multiples of 7 and 35 and identify the common multiples.
The least among the common multiples is the LCM of 7 and 35
Multiples of 7 are 7 14 21 28 35 42 49 etc
Multiples of 35 are 35 70 105 etc
Therefore, the least common multiple of 7 and 35 is 35.
Method 2: Find LCM of 7 and 35 by Common Division Method
In this division method, we follow a 2-step process,
- Divide the numbers simultaneously with prime numbers
- Stop it when we don't have a prime number to divide the given numbers.
Irrespective of the method, the answer to question LCM of 7 and 35 is the same.