LCM for 9 and 30

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 9 and 30?

Answer

LCM of 9 and 30 is 90

(Ninety)

Finding LCM for 9 and 30 using GCF of these numbers

The first method to find LCM for numbers 9 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 30 is 3, so

LCM = (9 × 30) ÷ 3

LCM = 270 ÷ 3

LCM = 90

Finding LCM for 9 and 30 by Listing Multiples

The second method to find LCM for numbers 9 and 30 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

Multiples of 30: 30, 60, 90, 120, 150

So the LCM for 9 and 30 is 90

Finding LCM for 9 and 30 by Prime Factorization

Another method to find LCM for numbers 9 and 30 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 30: 2, 3, 5 (exponent form: 21, 31, 51)

32 × 21 × 51 = 90

Related Calculations

See Also

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 30? (The answer is: 90). Select the first number (e.g. '9') and the second number (e.g. '30'). 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 1 Number 2 LCM
1 30 30
2 30 30
3 30 30
4 30 60
5 30 30
6 30 30
7 30 210
8 30 120
9 30 90
10 30 30
11 30 330
12 30 60
13 30 390
14 30 210
15 30 30
16 30 240
17 30 510
18 30 90
19 30 570
20 30 60
21 30 210
22 30 330
23 30 690
24 30 120
25 30 150
26 30 390
27 30 270
28 30 420
29 30 870
30 30 30

FAQ

What's the Least Common Multiple (LCM) of 9 and 30?
LCM of 9 and 30 is 90

How to find the LCM of 9 and 30 using prime factorization?
To find the LCM of 9 and 30, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 90.

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 30: LCM = 90, GCF = 3.

See Also