How to find the Least Common Multiple of 49 and 54?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 49 and 54.
Follow the steps below, and let's calculate the LCM of 49 and 54.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 49 and 54:
Prime factors of 49
The prime factors of 49 are 7 and 7. Prime factorization of 49 in exponential form is:
49 = 72
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
Step 2: Identify the highest power of each prime number from the above boxes:
72, 21, 33
Step 3: Multiply these values together:
72x21x33=2646
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 49 and 54.
The Least Common Multiple of 49 and 54 is 2646.
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 49:
49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1029, 1078, 1127, 1176, 1225, 1274, 1323, 1372, 1421, 1470, 1519, 1568, 1617, 1666, 1715, 1764, 1813, 1862, 1911, 1960, 2009, 2058, 2107, 2156, 2205, 2254, 2303, 2352, 2401, 2450, 2499, 2548, 2597, 2646, 2695, 2744, 2793
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
Therefore,
LCM(49, 54) = 2646