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LCM for 27 and 64

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 27 and 64?

Answer

LCM of 27 and 64 is 1,728

(One thousand, seven hundred twenty-eight)

Finding LCM for 27 and 64 using GCF of these numbers

The first method to find LCM for numbers 27 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 27 and 64 is 1, so

LCM = (27 × 64) ÷ 1

LCM = 1728 ÷ 1

LCM = 1728

Finding LCM for 27 and 64 by Listing Multiples

The second method to find LCM for numbers 27 and 64 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864, 891, 918, 945, 972, 999, 1026, 1053, 1080, 1107, 1134, 1161, 1188, 1215, 1242, 1269, 1296, 1323, 1350, 1377, 1404, 1431, 1458, 1485, 1512, 1539, 1566, 1593, 1620, 1647, 1674, 1701, 1728, 1755, 1782

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216, 1280, 1344, 1408, 1472, 1536, 1600, 1664, 1728, 1792, 1856

So the LCM for 27 and 64 is 1728

Finding LCM for 27 and 64 by Prime Factorization

Another method to find LCM for numbers 27 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

33 × 26 = 1728

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What is the LCM of 27 and 64?. Find the LCM of 27 and 64 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1264192
1364832
1464448
1564960
166464
17641088
1864576
19641216
2064320
21641344
2264704
23641472
2464192
25641600
2664832
27641728
2864448
29641856
3064960
31641984
326464
33642112
34641088
35642240
3664576
37642368
38641216
39642496
4064320
41642624

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 27 and 64? (The answer is: 1728). Select the first number (e.g. '27') and the second number (e.g. '64'). 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 27 and 64?

LCM of 27 and 64 is 1,728

How to find the LCM of 27 and 64 using prime factorization?

To find the LCM of 27 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,728.

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 27 and 64: LCM = 1,728, GCF = 1.