How to find the Least Common Multiple of 54 and 59?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 59.
Follow the steps below, and let's calculate the LCM of 54 and 59.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 54 and 59:
Prime factors of 54
The prime factors of 54 are 2, 3, 3 and 3. Prime factorization of 54 in exponential form is:
54 = 21x33
Prime factors of 59
The prime factors of 59 are 59. Prime factorization of 59 in exponential form is:
59 = 591
Step 2: Identify the highest power of each prime number from the above boxes:
21, 33, 591
Step 3: Multiply these values together:
21x33x591=3186
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 54 and 59.
The Least Common Multiple of 54 and 59 is 3186.
Method 2 - List of Multiples
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 54:
54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350, 1404, 1458, 1512, 1566, 1620, 1674, 1728, 1782, 1836, 1890, 1944, 1998, 2052, 2106, 2160, 2214, 2268, 2322, 2376, 2430, 2484, 2538, 2592, 2646, 2700, 2754, 2808, 2862, 2916, 2970, 3024, 3078, 3132, 3186, 3240, 3294, 3348
Multiples of 59:
59, 118, 177, 236, 295, 354, 413, 472, 531, 590, 649, 708, 767, 826, 885, 944, 1003, 1062, 1121, 1180, 1239, 1298, 1357, 1416, 1475, 1534, 1593, 1652, 1711, 1770, 1829, 1888, 1947, 2006, 2065, 2124, 2183, 2242, 2301, 2360, 2419, 2478, 2537, 2596, 2655, 2714, 2773, 2832, 2891, 2950, 3009, 3068, 3127, 3186, 3245, 3304, 3363
Therefore,
LCM(54, 59) = 3186