LCM for 30 and 31

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 31?

Answer

LCM of 30 and 31 is 930

(Nine hundred thirty)

Finding LCM for 30 and 31 using GCF of these numbers

The first method to find LCM for numbers 30 and 31 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 31 is 1, so

LCM = (30 × 31) ÷ 1

LCM = 930 ÷ 1

LCM = 930

Finding LCM for 30 and 31 by Listing Multiples

The second method to find LCM for numbers 30 and 31 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990

Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899, 930, 961, 992

So the LCM for 30 and 31 is 930

Finding LCM for 30 and 31 by Prime Factorization

Another method to find LCM for numbers 30 and 31 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)

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

21 × 31 × 51 × 311 = 930

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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 30 and 31? (The answer is: 930). Select the first number (e.g. '30') 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

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LCM Table

Number 1 Number 2 LCM
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
31 31 31
32 31 992
33 31 1023
34 31 1054
35 31 1085
36 31 1116
37 31 1147
38 31 1178
39 31 1209
40 31 1240
41 31 1271
42 31 1302
43 31 1333
44 31 1364

FAQ

What's the Least Common Multiple (LCM) of 30 and 31?
LCM of 30 and 31 is 930

How to find the LCM of 30 and 31 using prime factorization?
To find the LCM of 30 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 930.

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 30 and 31: LCM = 930, GCF = 1.

See Also