LCM for 9 and 10

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 9 and 10?

Answer

LCM of 9 and 10 is 90

(Ninety)

Finding LCM for 9 and 10 using GCF of these numbers

The first method to find LCM for numbers 9 and 10 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 9 and 10 is 1, so

LCM = (9 × 10) ÷ 1

LCM = 90 ÷ 1

LCM = 90

Finding LCM for 9 and 10 by Listing Multiples

The second method to find LCM for numbers 9 and 10 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 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

So the LCM for 9 and 10 is 90

Finding LCM for 9 and 10 by Prime Factorization

Another method to find LCM for numbers 9 and 10 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 10: 2, 5 (exponent form: 21, 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 10? (The answer is: 90). Select the first number (e.g. '9') and the second number (e.g. '10'). 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 10 10
2 10 10
3 10 30
4 10 20
5 10 10
6 10 30
7 10 70
8 10 40
9 10 90
10 10 10
11 10 110
12 10 60
13 10 130
14 10 70
15 10 30
16 10 80
17 10 170
18 10 90
19 10 190
20 10 20
21 10 210
22 10 110
23 10 230
24 10 120
25 10 50
26 10 130
27 10 270
28 10 140
29 10 290
30 10 30

FAQ

What's the Least Common Multiple (LCM) of 9 and 10?
LCM of 9 and 10 is 90

How to find the LCM of 9 and 10 using prime factorization?
To find the LCM of 9 and 10, 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 10: LCM = 90, GCF = 1.

See Also