Least Common Multiple (LCM) of 195 and 169
The least common multiple (LCM) of 195 and 169 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 195 and 169?
First, calculate the GCD of 195 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 169 = 1 remainder 26 |
| 2 | 169 ÷ 26 = 6 remainder 13 |
| 3 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 67 | 6834 |
| 191 and 78 | 14898 |
| 72 and 155 | 11160 |
| 193 and 16 | 3088 |
| 172 and 33 | 5676 |