LCM for 100 and 130

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Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 130?

Answer

LCM of 100 and 130 is 1,300

(One thousand, three hundred)

Finding LCM for 100 and 130 using GCF of these numbers

The first method to find LCM for numbers 100 and 130 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 130 is 10, so

LCM = (100 × 130) ÷ 10

LCM = 13000 ÷ 10

LCM = 1300

Finding LCM for 100 and 130 by Listing Multiples

The second method to find LCM for numbers 100 and 130 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 130: 130, 260, 390, 520, 650, 780, 910, 1040, 1170, 1300, 1430, 1560

So the LCM for 100 and 130 is 1300

Finding LCM for 100 and 130 by Prime Factorization

Another method to find LCM for numbers 100 and 130 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 130: 2, 5, 13 (exponent form: 21, 51, 131)

22 × 52 × 131 = 1300

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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 100 and 130? (The answer is: 1300). Select the first number (e.g. '100') and the second number (e.g. '130'). 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
851302210
861305590
8713011310
881305720
8913011570
901301170
91130910
921305980
9313012090
941306110
951302470
961306240
9713012610
981306370
9913012870
1001301300
10113013130
1021306630
10313013390
104130520
1051302730
1061306890
10713013910
1081307020
10913014170
1101301430
11113014430
1121307280
11313014690
1141307410

FAQ

What's the Least Common Multiple (LCM) of 100 and 130?

LCM of 100 and 130 is 1,300

How to find the LCM of 100 and 130 using prime factorization?

To find the LCM of 100 and 130, 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 130: LCM = 1,300, GCF = 10.

See Also