Least Common Multiple (LCM) of 197 and 169
The least common multiple (LCM) of 197 and 169 is 33293.
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 197 and 169?
First, calculate the GCD of 197 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 169 = 1 remainder 28 |
| 2 | 169 ÷ 28 = 6 remainder 1 |
| 3 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 102 | 5304 |
| 181 and 172 | 31132 |
| 49 and 31 | 1519 |
| 170 and 186 | 15810 |
| 74 and 138 | 5106 |