LCM for 27 and 64
What's the Least Common Multiple (LCM) of 27 and 64?
(One thousand, seven hundred twenty-eight)
Finding LCM for 27 and 64 using GCF's 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 nubmers and pick the first which matching:
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
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/27--64">What is the LCM of 27 and 64? - Calculatio</a>
LCM Table
About "Least Common Multiple" Calculator
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