How to find the Least Common Multiple of 42 and 47?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 42 and 47.
Follow the steps below, and let's calculate the LCM of 42 and 47.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 42 and 47:
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 47
The prime factors of 47 are 47. Prime factorization of 47 in exponential form is:
47 = 471
Step 2: Identify the highest power of each prime number from the above boxes:
21, 31, 71, 471
Step 3: Multiply these values together:
21x31x71x471=1974
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 42 and 47.
The Least Common Multiple of 42 and 47 is 1974.
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
Multiples of 47:
47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1504, 1551, 1598, 1645, 1692, 1739, 1786, 1833, 1880, 1927, 1974, 2021, 2068, 2115
Therefore,
LCM(42, 47) = 1974