LCM for 10 and 260

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 260?

Answer

LCM of 10 and 260 is 260

(Two hundred sixty)

Finding LCM for 10 and 260 using GCF of these numbers

The first method to find LCM for numbers 10 and 260 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 260 is 10, so

LCM = (10 × 260) ÷ 10

LCM = 2600 ÷ 10

LCM = 260

Finding LCM for 10 and 260 by Listing Multiples

The second method to find LCM for numbers 10 and 260 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280

Multiples of 260: 260, 520, 780

So the LCM for 10 and 260 is 260

Finding LCM for 10 and 260 by Prime Factorization

Another method to find LCM for numbers 10 and 260 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 260: 2, 2, 5, 13 (exponent form: 22, 51, 131)

22 × 51 × 131 = 260

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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 260? (The answer is: 260). Select the first number (e.g. '10') and the second number (e.g. '260'). 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
1260260
2260260
3260780
4260260
5260260
6260780
72601820
8260520
92602340
10260260
112602860
12260780
13260260
142601820
15260780
162601040
172604420
182602340
192604940
20260260
212605460
222602860
232605980
242601560
252601300
26260260
272607020
282601820
292607540
30260780

FAQ

What's the Least Common Multiple (LCM) of 10 and 260?

LCM of 10 and 260 is 260

How to find the LCM of 10 and 260 using prime factorization?

To find the LCM of 10 and 260, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 260.

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 260: LCM = 260, GCF = 10.

See Also