LCM for 20 and 240

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 240?

Answer

LCM of 20 and 240 is 240

(Two hundred forty)

Finding LCM for 20 and 240 using GCF of these numbers

The first method to find LCM for numbers 20 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 240 is 20, so

LCM = (20 × 240) ÷ 20

LCM = 4800 ÷ 20

LCM = 240

Finding LCM for 20 and 240 by Listing Multiples

The second method to find LCM for numbers 20 and 240 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280

Multiples of 240: 240, 480, 720

So the LCM for 20 and 240 is 240

Finding LCM for 20 and 240 by Prime Factorization

Another method to find LCM for numbers 20 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)

24 × 51 × 31 = 240

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 20 and 240? (The answer is: 240). Select the first number (e.g. '20') and the second number (e.g. '240'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
5240240
6240240
72401680
8240240
9240720
10240240
112402640
12240240
132403120
142401680
15240240
16240240
172404080
18240720
192404560
20240240
212401680
222402640
232405520
24240240
252401200
262403120
272402160
282401680
292406960
30240240
312407440
32240480
332402640
342404080

FAQ

What's the Least Common Multiple (LCM) of 20 and 240?

LCM of 20 and 240 is 240

How to find the LCM of 20 and 240 using prime factorization?

To find the LCM of 20 and 240, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 240.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 20 and 240: LCM = 240, GCF = 20.

See Also