What is the LCM of 2 and 5?
LCM of 2 and 5 is the least number which is exactly divisible by both 2 and 5.
Answer: LCM of 2 and 5 is 10
Lets see how to find the LCM of 2 and 5
The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.
Two methods to find LCM of 2 and 5 are explained below.
Methods to Find LCM of 2 and 5
Let us use the following methods to find the LCM of 2 and 5
- Common Division
LCM of 2 and 5 by Formula
The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)
The Greatest Common Factor (GCF) of (2,5) = 1
By using the formula, we get
LCM of 2 and 5 = (2 × 5) / 1
= 10/1 = 10
LCM (2,5) = 10
LCM of 2 and 5 by Common Division Method
Follow the steps mentioned below to find the LCM of 2 and 5 by the common division method.
- Step 1: Write the numbers 2 and 5 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 2 and 5 will be the product of primes by which we have divided.
Observe that the solution to our question LCM of 2 and 5 is the same.