Least Common Multiple (LCM) of 173 and 114
The least common multiple (LCM) of 173 and 114 is 19722.
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 114?
First, calculate the GCD of 173 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 173 ÷ 114 = 1 remainder 59 |
| 2 | 114 ÷ 59 = 1 remainder 55 |
| 3 | 59 ÷ 55 = 1 remainder 4 |
| 4 | 55 ÷ 4 = 13 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 141 | 9024 |
| 84 and 121 | 10164 |
| 115 and 26 | 2990 |
| 88 and 142 | 6248 |
| 98 and 177 | 17346 |