Least Common Multiple (LCM) of 173 and 141
The least common multiple (LCM) of 173 and 141 is 24393.
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 173 and 141?
First, calculate the GCD of 173 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 141 = 1 remainder 32 |
| 2 | 141 ÷ 32 = 4 remainder 13 |
| 3 | 32 ÷ 13 = 2 remainder 6 |
| 4 | 13 ÷ 6 = 2 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 197 | 31126 |
| 44 and 90 | 1980 |
| 25 and 48 | 1200 |
| 163 and 153 | 24939 |
| 147 and 147 | 147 |