Least Common Multiple (LCM) of 169 and 155
The least common multiple (LCM) of 169 and 155 is 26195.
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 155?
First, calculate the GCD of 169 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 155 = 1 remainder 14 |
| 2 | 155 ÷ 14 = 11 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 188 | 31396 |
| 107 and 197 | 21079 |
| 10 and 60 | 60 |
| 36 and 102 | 612 |
| 18 and 145 | 2610 |