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LCM for 13 and 8

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 13 and 8?

Answer

LCM of 13 and 8 is 104

(One hundred four)

Finding LCM for 13 and 8 using GCF of these numbers

The first method to find LCM for numbers 13 and 8 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 13 and 8 is 1, so

LCM = (13 × 8) ÷ 1

LCM = 104 ÷ 1

LCM = 104

Finding LCM for 13 and 8 by Listing Multiples

The second method to find LCM for numbers 13 and 8 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

So the LCM for 13 and 8 is 104

Finding LCM for 13 and 8 by Prime Factorization

Another method to find LCM for numbers 13 and 8 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 13: 13 (exponent form: 131)

All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

131 × 23 = 104

Related Calculations

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What is the LCM of 13 and 8?. Find the LCM of 13 and 8 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
188
288
3824
488
5840
6824
7856
888
9872
10840
11888
12824
138104
14856
158120
16816
178136
18872
198152
20840
218168
22888
238184
24824
258200
268104
278216
28856
298232
308120

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 13 and 8? (The answer is: 104). Select the first number (e.g. '13') and the second number (e.g. '8'). 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 13 and 8?

LCM of 13 and 8 is 104

How to find the LCM of 13 and 8 using prime factorization?

To find the LCM of 13 and 8, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 104.

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 13 and 8: LCM = 104, GCF = 1.

See Also