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LCM for 18 and 31

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 18 and 31?

Answer

LCM of 18 and 31 is 558

(Five hundred fifty-eight)

Finding LCM for 18 and 31 using GCF of these numbers

The first method to find LCM for numbers 18 and 31 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 18 and 31 is 1, so

LCM = (18 × 31) ÷ 1

LCM = 558 ÷ 1

LCM = 558

Finding LCM for 18 and 31 by Listing Multiples

The second method to find LCM for numbers 18 and 31 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594

Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620

So the LCM for 18 and 31 is 558

Finding LCM for 18 and 31 by Prime Factorization

Another method to find LCM for numbers 18 and 31 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)

All Prime Factors of 31: 31 (exponent form: 311)

21 × 32 × 311 = 558

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What is the LCM of 18 and 31?. The LCM of 18 and 31 is 558 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
181236
1814126
181590
1820180
1821126
1822198
182472
1825450
1826234
182754
1828252
183090
1831558
1832288
1833198
1834306
1835630
183636
1837666
1838342
1839234
1840360
1841738
1842126
184590
1848144
1849882
1852468
185454
1857342

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 18 and 31? (The answer is: 558). Select the first number (e.g. '18') and the second number (e.g. '31'). 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 18 and 31?

LCM of 18 and 31 is 558

How to find the LCM of 18 and 31 using prime factorization?

To find the LCM of 18 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 558.

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 18 and 31: LCM = 558, GCF = 1.

See Also