LCM for 31 and 53

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 31 and 53?

Answer

LCM of 31 and 53 is
1,643

(One thousand six hundred forty-three)

Finding LCM for 31 and 53 using GCF of these numbers

The first method to find LCM for numbers 31 and 53 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 31 and 53 is 1, so

LCM = (31 × 53) ÷ 1

LCM = 1,643 ÷ 1

LCM = 1,643

Finding LCM for 31 and 53 by Listing Multiples

The second method to find LCM for numbers 31 and 53 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, 1,023, 1,054, 1,085, 1,116, 1,147, 1,178, 1,209, 1,240, 1,271, 1,302, 1,333, 1,364, 1,395, 1,426, 1,457, 1,488, 1,519, 1,550, 1,581, 1,612, 1,643, 1,674, 1,705

Multiples of 53: 53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1,007, 1,060, 1,113, 1,166, 1,219, 1,272, 1,325, 1,378, 1,431, 1,484, 1,537, 1,590, 1,643, 1,696, 1,749

So the LCM for 31 and 53 is 1,643

Finding LCM for 31 and 53 by Prime Factorization

Another method to find LCM for numbers 31 and 53 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 53: 53 (exponent form: 531)

311 × 531 = 1,643

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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 53? (The answer is: 1,643). Select the first number (e.g. '31') and the second number (e.g. '53'). 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
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LCM Table

Number 1Number 2LCM
31381,178
31391,209
31401,240
31411,271
31421,302
31431,333
31441,364
31451,395
31461,426
31471,457
31481,488
31491,519
31501,550
31511,581
31521,612
31531,643
31541,674
31551,705
31561,736
31571,767
31581,798
31591,829
31601,860
31611,891
316262
31631,953
31641,984
31652,015
31662,046
31672,077

FAQ

What's the Least Common Multiple (LCM) of 31 and 53?

LCM of 31 and 53 is 1,643

How to find the LCM of 31 and 53 using prime factorization?

To find the LCM of 31 and 53, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,643.

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 53: LCM = 1,643, GCF = 1.

See Also