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LCM for 31 and 35

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 31 and 35?

Answer

LCM of 31 and 35 is 1,085

(One thousand, eighty-five)

Finding LCM for 31 and 35 using GCF of these numbers

The first method to find LCM for numbers 31 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 35 is 1, so

LCM = (31 × 35) ÷ 1

LCM = 1085 ÷ 1

LCM = 1085

Finding LCM for 31 and 35 by Listing Multiples

The second method to find LCM for numbers 31 and 35 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

Multiples of 35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945, 980, 1015, 1050, 1085, 1120, 1155

So the LCM for 31 and 35 is 1085

Finding LCM for 31 and 35 by Prime Factorization

Another method to find LCM for numbers 31 and 35 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 35: 5, 7 (exponent form: 51, 71)

311 × 51 × 71 = 1085

Related Calculations

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What is the LCM of 31 and 35?. The LCM of 31 and 35 is 1085 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
3120620
3121651
3122682
3123713
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

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 35? (The answer is: 1085). Select the first number (e.g. '31') and the second number (e.g. '35'). 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 35?

LCM of 31 and 35 is 1,085

How to find the LCM of 31 and 35 using prime factorization?

To find the LCM of 31 and 35, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,085.

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 35: LCM = 1,085, GCF = 1.

See Also