LCM for 17 and 27

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 17 and 27?

Answer

LCM of 17 and 27 is 459

(Four hundred fifty-nine)

Finding LCM for 17 and 27 using GCF of these numbers

The first method to find LCM for numbers 17 and 27 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 27 is 1, so

LCM = (17 × 27) ÷ 1

LCM = 459 ÷ 1

LCM = 459

Finding LCM for 17 and 27 by Listing Multiples

The second method to find LCM for numbers 17 and 27 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513

So the LCM for 17 and 27 is 459

Finding LCM for 17 and 27 by Prime Factorization

Another method to find LCM for numbers 17 and 27 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 17: 17 (exponent form: 171)

All Prime Factors of 27: 3, 3, 3 (exponent form: 33)

171 × 33 = 459

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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 17 and 27? (The answer is: 459). Select the first number (e.g. '17') and the second number (e.g. '27'). 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

LCM Table

Number 1Number 2LCM
22754
32727
427108
527135
62754
727189
827216
92727
1027270
1127297
1227108
1327351
1427378
1527135
1627432
1727459
182754
1927513
2027540
2127189
2227594
2327621
2427216
2527675
2627702
272727
2827756
2927783
3027270
3127837

FAQ

What's the Least Common Multiple (LCM) of 17 and 27?

LCM of 17 and 27 is 459

How to find the LCM of 17 and 27 using prime factorization?

To find the LCM of 17 and 27, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 459.

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 17 and 27: LCM = 459, GCF = 1.

See Also