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LCM for 31 and 53

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 1643 ÷ 1

LCM = 1643

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, 1023, 1054, 1085, 1116, 1147, 1178, 1209, 1240, 1271, 1302, 1333, 1364, 1395, 1426, 1457, 1488, 1519, 1550, 1581, 1612, 1643, 1674, 1705

Multiples of 53: 53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749

So the LCM for 31 and 53 is 1643

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 = 1643

Related Calculations

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What is the LCM of 31 and 53?. The LCM of 31 and 53 is 1643 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
31381178
31391209
31401240
31411271
31421302
31431333
31441364
31451395
31461426
31471457
31481488
31491519
31501550
31511581
31521612
31531643
31541674
31551705
31561736
31571767
31581798
31591829
31601860
31611891
316262
31631953
31641984
31652015
31662046
31672077

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: 1643). 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

and

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