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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

Related Calculations

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What is the LCM of 31 and 39?. The LCM of 31 and 39 is 1209 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
3124744
3125775
3126806
3127837
3128868
3129899
3130930
313131
3132992
31331023
31341054
31351085
31361116
31371147
31381178
31391209
31401240
31411271
31421302
31431333
31441364
31451395
31461426
31471457
31481488
31491519
31501550
31511581
31521612
31531643

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

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