Least Common Multiple (LCM) of 141 and 173
The least common multiple (LCM) of 141 and 173 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 141 and 173?
First, calculate the GCD of 141 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 173 = 0 remainder 141 |
| 2 | 173 ÷ 141 = 1 remainder 32 |
| 3 | 141 ÷ 32 = 4 remainder 13 |
| 4 | 32 ÷ 13 = 2 remainder 6 |
| 5 | 13 ÷ 6 = 2 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 67 | 7169 |
| 76 and 45 | 3420 |
| 108 and 69 | 2484 |
| 192 and 148 | 7104 |
| 70 and 186 | 6510 |