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 |
|---|---|
| 131 and 48 | 6288 |
| 190 and 121 | 22990 |
| 75 and 138 | 3450 |
| 166 and 130 | 10790 |
| 161 and 60 | 9660 |