What is the LCM of 35 and 42?
The LCM (Least Common Multiple) of 35 and 42 is the least number which is exactly divisible by all the numbers 35 and 42.
Answer: LCM of 35 and 42 is 210
We will explain two methods to find the LCM of 35 and 42.
The two methods that we are using to find the LCM of 35 and 42 are shown below.
- Least Common Multiple of 35 and 42 by Listing Method
- Least Common Multiple of 35 and 42 by Common Division Method
Method1: LCM of 35 and 42 by Listing Method
The multiples of 35 and 42 are:
Multiples of 35: 35, 70, 105, 140, 175, 210
Multiples of 42: 42, 84, 126, 168, 210
Here, 210 is the least common multiple of 35 and 42 from this list. So, LCM (35, 42) = 210
Method2: LCM of 35 and 42 by Common Division Method
Follow the steps mentioned below to find the LCM( 35, 42) by the common division method.
Step 1: Write the numbers 35 and 42 horizontally by separating them with a comma.
Step 2: Choose the smallest prime number that divides at least any one of them.
Step 3: Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring it down directly.
Step 4: We will stop it when we don't have a prime number to divide the given numbers.
Step 5: Least common multiple of 35 and 42 will be the product of primes by which we have divided.
The answer to LCM of 35 and 42 is the same, irrespective of the methods used.