LCM for 31 and 34

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What's the Least Common Multiple (LCM) of 31 and 34?

Answer

LCM of 31 and 34 is
1,054

(One thousand fifty-four)

Finding LCM for 31 and 34 using GCF of these numbers

The first method to find LCM for numbers 31 and 34 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 34 is 1, so

LCM = (31 × 34) ÷ 1

LCM = 1,054 ÷ 1

LCM = 1,054

Finding LCM for 31 and 34 by Listing Multiples

The second method to find LCM for numbers 31 and 34 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

Multiples of 34: 34, 68, 102, 136, 170, 204, 238, 272, 306, 340, 374, 408, 442, 476, 510, 544, 578, 612, 646, 680, 714, 748, 782, 816, 850, 884, 918, 952, 986, 1020, 1054, 1088, 1122

So the LCM for 31 and 34 is 1,054

Finding LCM for 31 and 34 by Prime Factorization

Another method to find LCM for numbers 31 and 34 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 34: 2, 17 (exponent form: 21, 171)

311 × 21 × 171 = 1,054

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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 34? (The answer is: 1,054). Select the first number (e.g. '31') and the second number (e.g. '34'). 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
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LCM Table

Number 1Number 2LCM
3119589
3120620
3121651
3122682
3123713
3124744
3125775
3126806
3127837
3128868
3129899
3130930
313131
3132992
31331,023
31341,054
31351,085
31361,116
31371,147
31381,178
31391,209
31401,240
31411,271
31421,302
31431,333
31441,364
31451,395
31461,426
31471,457
31481,488

FAQ

What's the Least Common Multiple (LCM) of 31 and 34?

LCM of 31 and 34 is 1,054

How to find the LCM of 31 and 34 using prime factorization?

To find the LCM of 31 and 34, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,054.

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 34: LCM = 1,054, GCF = 1.

See Also