LCM for 31 and 53

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 31 and 53?

Answer

LCM of 31 and 53 is 1,643

(One thousand, six hundred forty-three)

Finding LCM for 31 and 53 using GCF of these numbers

The first method to find LCM for numbers 31 and 53 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 53 is 1, so

LCM = (31 × 53) ÷ 1

LCM = 1643 ÷ 1

LCM = 1643

Finding LCM for 31 and 53 by Listing Multiples

The second method to find LCM for numbers 31 and 53 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, 1240, 1271, 1302, 1333, 1364, 1395, 1426, 1457, 1488, 1519, 1550, 1581, 1612, 1643, 1674, 1705

Multiples of 53: 53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749

So the LCM for 31 and 53 is 1643

Finding LCM for 31 and 53 by Prime Factorization

Another method to find LCM for numbers 31 and 53 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 53: 53 (exponent form: 531)

311 × 531 = 1643

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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 31 and 53? (The answer is: 1643). Select the first number (e.g. '31') and the second number (e.g. '53'). 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
1653848
1753901
1853954
19531007
20531060
21531113
22531166
23531219
24531272
25531325
26531378
27531431
28531484
29531537
30531590
31531643
32531696
33531749
34531802
35531855
36531908
37531961
38532014
39532067
40532120
41532173
42532226
43532279
44532332
45532385

FAQ

What's the Least Common Multiple (LCM) of 31 and 53?

LCM of 31 and 53 is 1,643

How to find the LCM of 31 and 53 using prime factorization?

To find the LCM of 31 and 53, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,643.

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 53: LCM = 1,643, GCF = 1.

See Also