Least Common Multiple (LCM) of 169 and 141
The least common multiple (LCM) of 169 and 141 is 23829.
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 141?
First, calculate the GCD of 169 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 141 = 1 remainder 28 |
| 2 | 141 ÷ 28 = 5 remainder 1 |
| 3 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 116 | 116 |
| 133 and 155 | 20615 |
| 91 and 92 | 8372 |
| 197 and 43 | 8471 |
| 129 and 139 | 17931 |