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LCM for 9 and 20

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 9 and 20?

Answer

LCM of 9 and 20 is 180

(One hundred eighty)

Finding LCM for 9 and 20 using GCF of these numbers

The first method to find LCM for numbers 9 and 20 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 20 is 1, so

LCM = (9 × 20) ÷ 1

LCM = 180 ÷ 1

LCM = 180

Finding LCM for 9 and 20 by Listing Multiples

The second method to find LCM for numbers 9 and 20 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198

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

So the LCM for 9 and 20 is 180

Finding LCM for 9 and 20 by Prime Factorization

Another method to find LCM for numbers 9 and 20 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 9: 3, 3 (exponent form: 32)

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

32 × 22 × 51 = 180

Related Calculations

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What is the LCM of 9 and 20?. Find the LCM of 9 and 20 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
12020
22020
32060
42020
52020
62060
720140
82040
920180
102020
1120220
122060
1320260
1420140
152060
162080
1720340
1820180
1920380
202020
2120420
2220220
2320460
2420120
2520100
2620260
2720540
2820140
2920580
302060

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 9 and 20? (The answer is: 180). Select the first number (e.g. '9') and the second number (e.g. '20'). 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

FAQ

What's the Least Common Multiple (LCM) of 9 and 20?

LCM of 9 and 20 is 180

How to find the LCM of 9 and 20 using prime factorization?

To find the LCM of 9 and 20, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

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 9 and 20: LCM = 180, GCF = 1.

See Also