LCM for 31 and 37

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 31 and 37?

Answer

LCM of 31 and 37 is 1,147

(One thousand, one hundred forty-seven)

Finding LCM for 31 and 37 using GCF of these numbers

The first method to find LCM for numbers 31 and 37 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 37 is 1, so

LCM = (31 × 37) ÷ 1

LCM = 1147 ÷ 1

LCM = 1147

Finding LCM for 31 and 37 by Listing Multiples

The second method to find LCM for numbers 31 and 37 is to list out the common multiples for both numbers and pick the first one that matches:

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, 1023, 1054, 1085, 1116, 1147, 1178, 1209

Multiples of 37: 37, 74, 111, 148, 185, 222, 259, 296, 333, 370, 407, 444, 481, 518, 555, 592, 629, 666, 703, 740, 777, 814, 851, 888, 925, 962, 999, 1036, 1073, 1110, 1147, 1184, 1221

So the LCM for 31 and 37 is 1147

Finding LCM for 31 and 37 by Prime Factorization

Another method to find LCM for numbers 31 and 37 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 37: 37 (exponent form: 371)

311 × 371 = 1147

Related Calculations

See Also

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 31 and 37? (The answer is: 1147). Select the first number (e.g. '31') and the second number (e.g. '37'). 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 1Number 2LCM
1637592
1737629
1837666
1937703
2037740
2137777
2237814
2337851
2437888
2537925
2637962
2737999
28371036
29371073
30371110
31371147
32371184
33371221
34371258
35371295
36371332
373737
38371406
39371443
40371480
41371517
42371554
43371591
44371628
45371665

FAQ

What's the Least Common Multiple (LCM) of 31 and 37?

LCM of 31 and 37 is 1,147

How to find the LCM of 31 and 37 using prime factorization?

To find the LCM of 31 and 37, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,147.

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 31 and 37: LCM = 1,147, GCF = 1.

See Also