
How to find the Least Common Multiple of 35 and 44?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 35 and 44.
Follow the steps below, and let's calculate the LCM of 35 and 44.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 35 and 44:
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 44
The prime factors of 44 are 2, 2 and 11. Prime factorization of 44 in exponential form is:
44 = 22x111
Step 2: Identify the highest power of each prime number from the above boxes:
51, 71, 22, 111
Step 3: Multiply these values together:
51x71x22x111=1540
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 35 and 44.
The Least Common Multiple of 35 and 44 is 1540.
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, 1575, 1610, 1645
Multiples of 44:
44, 88, 132, 176, 220, 264, 308, 352, 396, 440, 484, 528, 572, 616, 660, 704, 748, 792, 836, 880, 924, 968, 1012, 1056, 1100, 1144, 1188, 1232, 1276, 1320, 1364, 1408, 1452, 1496, 1540, 1584, 1628, 1672
Therefore,
LCM(35, 44) = 1540