How to find the Least Common Multiple of 54 and 61?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 61.
Follow the steps below, and let's calculate the LCM of 54 and 61.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 54 and 61:
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 61
The prime factors of 61 are 61. Prime factorization of 61 in exponential form is:
61 = 611
Step 2: Identify the highest power of each prime number from the above boxes:
21, 33, 611
Step 3: Multiply these values together:
21x33x611=3294
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 54 and 61.
The Least Common Multiple of 54 and 61 is 3294.
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, 3402, 3456
Multiples of 61:
61, 122, 183, 244, 305, 366, 427, 488, 549, 610, 671, 732, 793, 854, 915, 976, 1037, 1098, 1159, 1220, 1281, 1342, 1403, 1464, 1525, 1586, 1647, 1708, 1769, 1830, 1891, 1952, 2013, 2074, 2135, 2196, 2257, 2318, 2379, 2440, 2501, 2562, 2623, 2684, 2745, 2806, 2867, 2928, 2989, 3050, 3111, 3172, 3233, 3294, 3355, 3416, 3477
Therefore,
LCM(54, 61) = 3294