LCM for 10 and 5

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 5?

Answer

LCM of 10 and 5 is 10

(Ten)

Finding LCM for 10 and 5 using GCF of these numbers

The first method to find LCM for numbers 10 and 5 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 5 is 5, so

LCM = (10 × 5) ÷ 5

LCM = 50 ÷ 5

LCM = 10

Finding LCM for 10 and 5 by Listing Multiples

The second method to find LCM for numbers 10 and 5 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30

Multiples of 5: 5, 10, 15, 20

So the LCM for 10 and 5 is 10

Finding LCM for 10 and 5 by Prime Factorization

Another method to find LCM for numbers 10 and 5 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 5: 5 (exponent form: 51)

21 × 51 = 10

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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 10 and 5? (The answer is: 10). Select the first number (e.g. '10') and the second number (e.g. '5'). 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
155
2510
3515
4520
555
6530
7535
8540
9545
10510
11555
12560
13565
14570
15515
16580
17585
18590
19595
20520
215105
225110
235115
245120
25525
265130
275135
285140
295145
30530

FAQ

What's the Least Common Multiple (LCM) of 10 and 5?

LCM of 10 and 5 is 10

How to find the LCM of 10 and 5 using prime factorization?

To find the LCM of 10 and 5, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 10.

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 10 and 5: LCM = 10, GCF = 5.

See Also