Least Common Multiple (LCM) of 169 and 135
The least common multiple (LCM) of 169 and 135 is 22815.
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 169 and 135?
First, calculate the GCD of 169 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 135 = 1 remainder 34 |
| 2 | 135 ÷ 34 = 3 remainder 33 |
| 3 | 34 ÷ 33 = 1 remainder 1 |
| 4 | 33 ÷ 1 = 33 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 55 | 990 |
| 55 and 127 | 6985 |
| 167 and 128 | 21376 |
| 162 and 29 | 4698 |
| 167 and 169 | 28223 |