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LCM for 100 and 260

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 260?

Answer

LCM of 100 and 260 is 1,300

(One thousand, three hundred)

Finding LCM for 100 and 260 using GCF of these numbers

The first method to find LCM for numbers 100 and 260 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 260 is 20, so

LCM = (100 × 260) ÷ 20

LCM = 26000 ÷ 20

LCM = 1300

Finding LCM for 100 and 260 by Listing Multiples

The second method to find LCM for numbers 100 and 260 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500

Multiples of 260: 260, 520, 780, 1040, 1300, 1560, 1820

So the LCM for 100 and 260 is 1300

Finding LCM for 100 and 260 by Prime Factorization

Another method to find LCM for numbers 100 and 260 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

All Prime Factors of 260: 2, 2, 5, 13 (exponent form: 22, 51, 131)

22 × 52 × 131 = 1300

Related Calculations

See Also

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What is the LCM of 100 and 260?. The LCM of 100 and 260 is 1300 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
1001553100
100160800
1001653300
100175700
100180900
1001901900
100200200
1002154300
1002201100
100225900
1002302300
1002354700
1002401200
100250500
1002555100
1002601300
1002702700
1002751100
1002855700
1002902900
1003201600
1003251300
1003303300
1003401700
1003601800
1003657300
1003751500
1003857700
100400400
1004058100

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 100 and 260? (The answer is: 1300). Select the first number (e.g. '100') 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

FAQ

What's the Least Common Multiple (LCM) of 100 and 260?

LCM of 100 and 260 is 1,300

How to find the LCM of 100 and 260 using prime factorization?

To find the LCM of 100 and 260, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,300.

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 100 and 260: LCM = 1,300, GCF = 20.

See Also