How to find the Least Common Multiple of 42 and 53?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 42 and 53.
Follow the steps below, and let's calculate the LCM of 42 and 53.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 42 and 53:
Prime factors of 42
The prime factors of 42 are 2, 3 and 7. Prime factorization of 42 in exponential form is:
42 = 21x31x71
Prime factors of 53
The prime factors of 53 are 53. Prime factorization of 53 in exponential form is:
53 = 531
Step 2: Identify the highest power of each prime number from the above boxes:
21, 31, 71, 531
Step 3: Multiply these values together:
21x31x71x531=2226
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 42 and 53.
The Least Common Multiple of 42 and 53 is 2226.
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 42:
42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092, 1134, 1176, 1218, 1260, 1302, 1344, 1386, 1428, 1470, 1512, 1554, 1596, 1638, 1680, 1722, 1764, 1806, 1848, 1890, 1932, 1974, 2016, 2058, 2100, 2142, 2184, 2226, 2268, 2310, 2352
Multiples of 53:
53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749, 1802, 1855, 1908, 1961, 2014, 2067, 2120, 2173, 2226, 2279, 2332, 2385
Therefore,
LCM(42, 53) = 2226