How to find the Least Common Multiple of 54 and 67?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 67.
Follow the steps below, and let's calculate the LCM of 54 and 67.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 54 and 67:
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 67
The prime factors of 67 are 67. Prime factorization of 67 in exponential form is:
67 = 671
Step 2: Identify the highest power of each prime number from the above boxes:
21, 33, 671
Step 3: Multiply these values together:
21x33x671=3618
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 54 and 67.
The Least Common Multiple of 54 and 67 is 3618.
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, 3510, 3564, 3618, 3672, 3726, 3780
Multiples of 67:
67, 134, 201, 268, 335, 402, 469, 536, 603, 670, 737, 804, 871, 938, 1005, 1072, 1139, 1206, 1273, 1340, 1407, 1474, 1541, 1608, 1675, 1742, 1809, 1876, 1943, 2010, 2077, 2144, 2211, 2278, 2345, 2412, 2479, 2546, 2613, 2680, 2747, 2814, 2881, 2948, 3015, 3082, 3149, 3216, 3283, 3350, 3417, 3484, 3551, 3618, 3685, 3752, 3819
Therefore,
LCM(54, 67) = 3618