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 |
|---|---|
| 126 and 77 | 1386 |
| 122 and 123 | 15006 |
| 35 and 108 | 3780 |
| 170 and 75 | 2550 |
| 147 and 106 | 15582 |