
How to find the Least Common Multiple of 35 and 41?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 35 and 41.
Follow the steps below, and let's calculate the LCM of 35 and 41.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 35 and 41:
Prime factors of 35
The prime factors of 35 are 5 and 7. Prime factorization of 35 in exponential form is:
35 = 51x71
Prime factors of 41
The prime factors of 41 are 41. Prime factorization of 41 in exponential form is:
41 = 411
Step 2: Identify the highest power of each prime number from the above boxes:
51, 71, 411
Step 3: Multiply these values together:
51x71x411=1435
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 35 and 41.
The Least Common Multiple of 35 and 41 is 1435.
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 35:
35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, 700, 735, 770, 805, 840, 875, 910, 945, 980, 1015, 1050, 1085, 1120, 1155, 1190, 1225, 1260, 1295, 1330, 1365, 1400, 1435, 1470, 1505, 1540
Multiples of 41:
41, 82, 123, 164, 205, 246, 287, 328, 369, 410, 451, 492, 533, 574, 615, 656, 697, 738, 779, 820, 861, 902, 943, 984, 1025, 1066, 1107, 1148, 1189, 1230, 1271, 1312, 1353, 1394, 1435, 1476, 1517, 1558
Therefore,
LCM(35, 41) = 1435