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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

Related Calculations

See Also

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What is the LCM of 30 and 31?. Find the LCM of 30 and 31 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1531465
1631496
1731527
1831558
1931589
2031620
2131651
2231682
2331713
2431744
2531775
2631806
2731837
2831868
2931899
3031930
313131
3231992
33311023
34311054
35311085
36311116
37311147
38311178
39311209
40311240
41311271
42311302
43311333
44311364

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

and

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