The LCM of 15 and 20 is 60. Least Common Multiple (LCM) of two numbers is the smallest number that both can multiply into. The&nbsp;LCM of 15 and 20 is the smallest number that both 15 and 20 fit into. In this blog, we&rsquo;ll explain easy ways to find the LCM of 15 and 20.
<h3>How to Find the LCM of 15 and 20</h3>
Here are three simple methods to find the LCM of 15 and 20:
<h4>1. Prime Factorization Method</h4>
We break each number into its prime factors and take the highest power of each factor.
<ul>
<li>15 = 3 &times; 5</li>
<li>20 = 2 &times; 2 &times; 5</li>
<li>Using the highest powers: 2&sup2; &times; 3 &times; 5 = 60</li>
</ul>
Thus, LCM(15,20) = 60.
<h4>2. Listing Multiples Method</h4>
We list the multiples of both numbers and find the smallest one they share.
<ul>
<li>Multiples of 15: 15, 30, 45, 60, 75, ...</li>
<li>Multiples of 20: 20, 40, 60, 80, 100, ...</li>
<li>The smallest common multiple is 60.</li>
</ul>
Thus, LCM(15,20) = 60.
<h4>3. Division Method</h4>
We divide both numbers by their common factors until we get 1.
<ol>
<li>Divide 15 and 20 by 2 &rarr; (15, 10)</li>
<li>Divide 15 and 10 by 2 &rarr; (15, 5)</li>
<li>Divide 15 and 5 by 5 &rarr; (3, 1)</li>
<li>Both 3 and 1 are only divisible by 1</li>
<li>Multiply the divisors: 2 &times; 2 &times; 3 &times; 5 = 60</li>
</ol>
Thus, LCM(15,20) = 60.
<h3>Conclusion</h3>
The LCM of 15 and 20 is 60, and you can find it using prime factorization, listing multiples, or division. These methods make LCM calculations easy and useful.

Find the LCM of 15 and 20 using prime factorization, listing multiples, and division methods. Learn step-by-step how to calculate the least common multiple easily.

LCM of 15 and 20: How to find LCM of 15 and 20?

How to Find the LCM of 15 and 20

1. Prime Factorization Method

2. Listing Multiples Method

3. Division Method

Conclusion