Least Common Multiple (LCM) of 159 and 64
The least common multiple (LCM) of 159 and 64 is 10176.
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 159 and 64?
First, calculate the GCD of 159 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 64 = 2 remainder 31 |
| 2 | 64 ÷ 31 = 2 remainder 2 |
| 3 | 31 ÷ 2 = 15 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 49 | 5537 |
| 179 and 35 | 6265 |
| 73 and 162 | 11826 |
| 18 and 160 | 1440 |
| 136 and 28 | 952 |