
Least Common Multiple (LCM) of 64 and 165
The least common multiple (LCM) of 64 and 165 is 10560.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 64 and 165?
First, calculate the GCD of 64 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 64 ÷ 165 = 0 remainder 64 |
2 | 165 ÷ 64 = 2 remainder 37 |
3 | 64 ÷ 37 = 1 remainder 27 |
4 | 37 ÷ 27 = 1 remainder 10 |
5 | 27 ÷ 10 = 2 remainder 7 |
6 | 10 ÷ 7 = 1 remainder 3 |
7 | 7 ÷ 3 = 2 remainder 1 |
8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
159 and 16 | 2544 |
87 and 79 | 6873 |
111 and 17 | 1887 |
189 and 61 | 11529 |
110 and 141 | 15510 |