Least Common Multiple (LCM) of 169 and 197
The least common multiple (LCM) of 169 and 197 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 169 and 197?
First, calculate the GCD of 169 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 197 = 0 remainder 169 |
| 2 | 197 ÷ 169 = 1 remainder 28 |
| 3 | 169 ÷ 28 = 6 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 77 | 231 |
| 86 and 159 | 13674 |
| 156 and 113 | 17628 |
| 165 and 61 | 10065 |
| 61 and 157 | 9577 |