Least Common Multiple (LCM) of 136 and 163
The least common multiple (LCM) of 136 and 163 is 22168.
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 136 and 163?
First, calculate the GCD of 136 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 163 = 0 remainder 136 |
| 2 | 163 ÷ 136 = 1 remainder 27 |
| 3 | 136 ÷ 27 = 5 remainder 1 |
| 4 | 27 ÷ 1 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 89 | 9167 |
| 35 and 19 | 665 |
| 111 and 186 | 6882 |
| 169 and 165 | 27885 |
| 40 and 33 | 1320 |