Least Common Multiple (LCM) of 140 and 173
The least common multiple (LCM) of 140 and 173 is 24220.
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 140 and 173?
First, calculate the GCD of 140 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 173 = 0 remainder 140 |
| 2 | 173 ÷ 140 = 1 remainder 33 |
| 3 | 140 ÷ 33 = 4 remainder 8 |
| 4 | 33 ÷ 8 = 4 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 83 | 7470 |
| 193 and 68 | 13124 |
| 17 and 126 | 2142 |
| 158 and 136 | 10744 |
| 159 and 107 | 17013 |