LCM for 9 and 15

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 9 and 15?

Answer

LCM of 9 and 15 is 45

(Forty-five)

Finding LCM for 9 and 15 using GCF of these numbers

The first method to find LCM for numbers 9 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 15 is 3, so

LCM = (9 × 15) ÷ 3

LCM = 135 ÷ 3

LCM = 45

Finding LCM for 9 and 15 by Listing Multiples

The second method to find LCM for numbers 9 and 15 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

Multiples of 15: 15, 30, 45, 60, 75

So the LCM for 9 and 15 is 45

Finding LCM for 9 and 15 by Prime Factorization

Another method to find LCM for numbers 9 and 15 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 15: 3, 5 (exponent form: 31, 51)

32 × 51 = 45

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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 9 and 15? (The answer is: 45). Select the first number (e.g. '9') and the second number (e.g. '15'). 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 15 15
2 15 30
3 15 15
4 15 60
5 15 15
6 15 30
7 15 105
8 15 120
9 15 45
10 15 30
11 15 165
12 15 60
13 15 195
14 15 210
15 15 15
16 15 240
17 15 255
18 15 90
19 15 285
20 15 60
21 15 105
22 15 330
23 15 345
24 15 120
25 15 75
26 15 390
27 15 135
28 15 420
29 15 435
30 15 30

FAQ

What's the Least Common Multiple (LCM) of 9 and 15?
LCM of 9 and 15 is 45

How to find the LCM of 9 and 15 using prime factorization?
To find the LCM of 9 and 15, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 45.

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 15: LCM = 45, GCF = 3.

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