Least Common Multiple (LCM) of 159 and 136
The least common multiple (LCM) of 159 and 136 is 21624.
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 136?
First, calculate the GCD of 159 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 136 = 1 remainder 23 |
| 2 | 136 ÷ 23 = 5 remainder 21 |
| 3 | 23 ÷ 21 = 1 remainder 2 |
| 4 | 21 ÷ 2 = 10 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 108 | 4752 |
| 99 and 100 | 9900 |
| 40 and 29 | 1160 |
| 86 and 192 | 8256 |
| 31 and 105 | 3255 |