LCM for 104 and 130

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What's the Least Common Multiple (LCM) of 104 and 130?

Answer

LCM of 104 and 130 is
520

(Five hundred twenty)

Finding LCM for 104 and 130 using GCF of these numbers

The first method to find LCM for numbers 104 and 130 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 104 and 130 is 26, so

LCM = (104 × 130) ÷ 26

LCM = 13,520 ÷ 26

LCM = 520

Finding LCM for 104 and 130 by Listing Multiples

The second method to find LCM for numbers 104 and 130 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 104: 104, 208, 312, 416, 520, 624, 728

Multiples of 130: 130, 260, 390, 520, 650, 780

So the LCM for 104 and 130 is 520

Finding LCM for 104 and 130 by Prime Factorization

Another method to find LCM for numbers 104 and 130 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 104: 2, 2, 2, 13 (exponent form: 23, 131)

All Prime Factors of 130: 2, 5, 13 (exponent form: 21, 51, 131)

23 × 131 × 51 = 520

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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 104 and 130? (The answer is: 520). Select the first number (e.g. '104') 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
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LCM Table

Number 1Number 2LCM
10411511,960
1041163,016
104117936
1041186,136
10411912,376
1041201,560
10412112,584
1041226,344
10412312,792
1041243,224
10412513,000
1041266,552
10412713,208
1041281,664
10412913,416
104130520
10413113,624
1041323,432
10413313,832
1041346,968
10413514,040
1041361,768
10413714,248
1041387,176
10413914,456
1041403,640
10414114,664
1041427,384
1041431,144
1041441,872

FAQ

What's the Least Common Multiple (LCM) of 104 and 130?

LCM of 104 and 130 is 520

How to find the LCM of 104 and 130 using prime factorization?

To find the LCM of 104 and 130, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 520.

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 104 and 130: LCM = 520, GCF = 26.

See Also