LCM of 8 and 25 is 200. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. Among all common multiples of 8 and 25, the LCM of 8 and 25 is the smallest value. (8, 16, 24, 32, 40, 48, 56, etc.) and (25, 50, 75, 100, etc.) are the first few multiples of 8 and 25 respectively. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples.

Also read: Least common multiple

What is LCM of 8 and 25?

The answer to this question is 200. The LCM of 8 and 25 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 8 and 25, is the smallest positive integer 200 which is divisible by both 8 and 25 with no remainder.

How to Find LCM of 8 and 25?

LCM of 8 and 25 can be found using three methods:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 8 and 25 Using Prime Factorisation Method

The prime factorisation of 8 and 25, respectively, is given by:

8 = (2 × 2 × 2) = 2³ and

25 = (5 × 5) = 5²

LCM (24, 36) = 72

LCM of 8 and 25 Using Division Method

We’ll divide the numbers (8, 25) by their prime factors to get the LCM of 8 and 25 using the division method (preferably common). The LCM of 8 and 25 is calculated by multiplying these divisors.

No further division can be done.

Hence, LCM (8, 25) = 200

LCM of 8 and 25 Using Listing the Multiples

To calculate the LCM of 8 and 25 by listing out the common multiples, list the multiples as shown below

The smallest common multiple of 8 and 25 is 200.

Therefore LCM (8, 25) = 200

Related Articles

• HCF and LCM
• Prime Factorization
• LCM calculator
• Prime Factorization Calculator

Video Lesson on Applications of LCM

LCM of 8 and 25 Solved Example

Question: The GCD and LCM of two numbers are 1 and 200 respectively. If one number is 25, find the other number.

Solution:

Let the other number be b.

∵ GCD × LCM = 25 × b

⇒ b = (GCD × LCM)/25

⇒ b = (1 × 200)/25

⇒ b = 8