LCM for 17 and 54

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 17 and 54?

Answer

LCM of 17 and 54 is 918

(Nine hundred eighteen)

Finding LCM for 17 and 54 using GCF of these numbers

The first method to find LCM for numbers 17 and 54 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 17 and 54 is 1, so

LCM = (17 × 54) ÷ 1

LCM = 918 ÷ 1

LCM = 918

Finding LCM for 17 and 54 by Listing Multiples

The second method to find LCM for numbers 17 and 54 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, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816, 833, 850, 867, 884, 901, 918, 935, 952

Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026

So the LCM for 17 and 54 is 918

Finding LCM for 17 and 54 by Prime Factorization

Another method to find LCM for numbers 17 and 54 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 54: 2, 3, 3, 3 (exponent form: 21, 33)

171 × 21 × 33 = 918

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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 54? (The answer is: 918). Select the first number (e.g. '17') and the second number (e.g. '54'). 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
25454
35454
454108
554270
65454
754378
854216
95454
1054270
1154594
1254108
1354702
1454378
1554270
1654432
1754918
185454
19541026
2054540
2154378
2254594
23541242
2454216
25541350
2654702
275454
2854756
29541566
3054270
31541674

FAQ

What's the Least Common Multiple (LCM) of 17 and 54?

LCM of 17 and 54 is 918

How to find the LCM of 17 and 54 using prime factorization?

To find the LCM of 17 and 54, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 918.

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 54: LCM = 918, GCF = 1.

See Also