LCM for 5 and 31

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 5 and 31?

Answer

LCM of 5 and 31 is 155

(One hundred fifty-five)

Finding LCM for 5 and 31 using GCF of these numbers

The first method to find LCM for numbers 5 and 31 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 5 and 31 is 1, so

LCM = (5 × 31) ÷ 1

LCM = 155 ÷ 1

LCM = 155

Finding LCM for 5 and 31 by Listing Multiples

The second method to find LCM for numbers 5 and 31 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165

Multiples of 31: 31, 62, 93, 124, 155, 186, 217

So the LCM for 5 and 31 is 155

Finding LCM for 5 and 31 by Prime Factorization

Another method to find LCM for numbers 5 and 31 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 5: 5 (exponent form: 51)

All Prime Factors of 31: 31 (exponent form: 311)

51 × 311 = 155

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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 5 and 31? (The answer is: 155). Select the first number (e.g. '5') and the second number (e.g. '31'). 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 1 Number 2 LCM
1 31 31
2 31 62
3 31 93
4 31 124
5 31 155
6 31 186
7 31 217
8 31 248
9 31 279
10 31 310
11 31 341
12 31 372
13 31 403
14 31 434
15 31 465
16 31 496
17 31 527
18 31 558
19 31 589
20 31 620
21 31 651
22 31 682
23 31 713
24 31 744
25 31 775
26 31 806
27 31 837
28 31 868
29 31 899
30 31 930

FAQ

What's the Least Common Multiple (LCM) of 5 and 31?
LCM of 5 and 31 is 155

How to find the LCM of 5 and 31 using prime factorization?
To find the LCM of 5 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 155.

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 5 and 31: LCM = 155, GCF = 1.

See Also