LCM for 31 and 51

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 31 and 51?

Answer

LCM of 31 and 51 is 1,581

(One thousand, five hundred eighty-one)

Finding LCM for 31 and 51 using GCF of these numbers

The first method to find LCM for numbers 31 and 51 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 51 is 1, so

LCM = (31 × 51) ÷ 1

LCM = 1581 ÷ 1

LCM = 1581

Finding LCM for 31 and 51 by Listing Multiples

The second method to find LCM for numbers 31 and 51 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

Multiples of 51: 51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816, 867, 918, 969, 1020, 1071, 1122, 1173, 1224, 1275, 1326, 1377, 1428, 1479, 1530, 1581, 1632, 1683

So the LCM for 31 and 51 is 1581

Finding LCM for 31 and 51 by Prime Factorization

Another method to find LCM for numbers 31 and 51 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 51: 3, 17 (exponent form: 31, 171)

311 × 31 × 171 = 1581

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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 51? (The answer is: 1581). Select the first number (e.g. '31') and the second number (e.g. '51'). 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
1651816
175151
1851306
1951969
20511020
2151357
22511122
23511173
2451408
25511275
26511326
2751459
28511428
29511479
3051510
31511581
32511632
3351561
3451102
35511785
3651612
37511887
38511938
3951663
40512040
41512091
4251714
43512193
44512244
4551765

FAQ

What's the Least Common Multiple (LCM) of 31 and 51?

LCM of 31 and 51 is 1,581

How to find the LCM of 31 and 51 using prime factorization?

To find the LCM of 31 and 51, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,581.

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 51: LCM = 1,581, GCF = 1.

See Also