LCM for 31 and 39

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 31 and 39?

Answer

LCM of 31 and 39 is 1,209

(One thousand, two hundred nine)

Finding LCM for 31 and 39 using GCF of these numbers

The first method to find LCM for numbers 31 and 39 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 39 is 1, so

LCM = (31 × 39) ÷ 1

LCM = 1209 ÷ 1

LCM = 1209

Finding LCM for 31 and 39 by Listing Multiples

The second method to find LCM for numbers 31 and 39 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

Multiples of 39: 39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780, 819, 858, 897, 936, 975, 1014, 1053, 1092, 1131, 1170, 1209, 1248, 1287

So the LCM for 31 and 39 is 1209

Finding LCM for 31 and 39 by Prime Factorization

Another method to find LCM for numbers 31 and 39 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 39: 3, 13 (exponent form: 31, 131)

311 × 31 × 131 = 1209

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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 39? (The answer is: 1209). Select the first number (e.g. '31') and the second number (e.g. '39'). 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
1639624
1739663
1839234
1939741
2039780
2139273
2239858
2339897
2439312
2539975
263978
2739351
28391092
29391131
3039390
31391209
32391248
3339429
34391326
35391365
3639468
37391443
38391482
393939
40391560
41391599
4239546
43391677
44391716
4539585

FAQ

What's the Least Common Multiple (LCM) of 31 and 39?

LCM of 31 and 39 is 1,209

How to find the LCM of 31 and 39 using prime factorization?

To find the LCM of 31 and 39, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,209.

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 39: LCM = 1,209, GCF = 1.

See Also