Least Common Multiple (LCM) of 169 and 195
The least common multiple (LCM) of 169 and 195 is 2535.
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 195?
First, calculate the GCD of 169 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 195 = 0 remainder 169 |
| 2 | 195 ÷ 169 = 1 remainder 26 |
| 3 | 169 ÷ 26 = 6 remainder 13 |
| 4 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 168 | 7224 |
| 10 and 12 | 60 |
| 139 and 167 | 23213 |
| 31 and 42 | 1302 |
| 129 and 101 | 13029 |