Least Common Multiple (LCM) of 169 and 186
The least common multiple (LCM) of 169 and 186 is 31434.
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 186?
First, calculate the GCD of 169 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 186 = 0 remainder 169 |
| 2 | 186 ÷ 169 = 1 remainder 17 |
| 3 | 169 ÷ 17 = 9 remainder 16 |
| 4 | 17 ÷ 16 = 1 remainder 1 |
| 5 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 39 | 3783 |
| 42 and 46 | 966 |
| 97 and 131 | 12707 |
| 31 and 14 | 434 |
| 123 and 60 | 2460 |