LCM for 15 and 9

"Least Common Multiple" Calculator

Least Common Multiple of

and

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

Answer

LCM of 15 and 9 is 45

(Forty-five)

Finding LCM for 15 and 9 using GCF of these numbers

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

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 9 is 3, so

LCM = (15 × 9) ÷ 3

LCM = 135 ÷ 3

LCM = 45

Finding LCM for 15 and 9 by Listing Multiples

The second method to find LCM for numbers 15 and 9 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 9: 9, 18, 27, 36, 45, 54, 63

So the LCM for 15 and 9 is 45

Finding LCM for 15 and 9 by Prime Factorization

Another method to find LCM for numbers 15 and 9 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 15: 3, 5 (exponent form: 31, 51)

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

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 15 and 9? (The answer is: 45). Select the first number (e.g. '15') and the second number (e.g. '9'). 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
199
2918
399
4936
5945
6918
7963
8972
999
10990
11999
12936
139117
149126
15945
169144
179153
18918
199171
209180
21963
229198
239207
24972
259225
269234
27927
289252
299261
30990

FAQ

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

LCM of 15 and 9 is 45

How to find the LCM of 15 and 9 using prime factorization?

To find the LCM of 15 and 9, 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 15 and 9: LCM = 45, GCF = 3.

See Also