LCM of 3 and 5: Simple Calculation

The Least Common Multiple (LCM) of two numbers is the smallest number that both numbers divide evenly into. Let’s calculate the LCM of 3 and 5 using a simple method.

Step 1: Prime Factorization

First, we find the prime factorization of both numbers.

• Prime factorization of 3: 3 is a prime number, so its factorization is just 3.
• Prime factorization of 5: 5 is also a prime number, so its factorization is just 5.

Step 2: Multiply the Prime Factors

Since both 3 and 5 are prime, the LCM is simply the product of the two numbers:

LCM(3,5)=3×5=15

Conclusion

The LCM of 3 and 5 is 15. This means 15 is the smallest number that both 3 and 5 divide evenly into. The LCM is particularly useful when working with fractions, ratios, or solving problems where finding a common multiple is necessary.

Keep this quick method in mind for solving other LCM problems with prime numbers.