Least Common Multiple (LCM) of 169 and 82
The least common multiple (LCM) of 169 and 82 is 13858.
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 82?
First, calculate the GCD of 169 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 82 = 2 remainder 5 |
| 2 | 82 ÷ 5 = 16 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 102 | 6018 |
| 180 and 111 | 6660 |
| 10 and 122 | 610 |
| 180 and 70 | 1260 |
| 146 and 151 | 22046 |