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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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

LCM Table

Number 1Number 2LCM
271854
2728756
2730270
2732864
2733297
2735945
2736108
2739351
27401080
2742378
27431161
27441188
2745135
27491323
27501350
27531431
275454
27641728
2775675
271253375

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.

See Also