Least Common Multiple (LCM) of 114 and 141
The least common multiple (LCM) of 114 and 141 is 5358.
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 114 and 141?
First, calculate the GCD of 114 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 114 ÷ 141 = 0 remainder 114 |
| 2 | 141 ÷ 114 = 1 remainder 27 |
| 3 | 114 ÷ 27 = 4 remainder 6 |
| 4 | 27 ÷ 6 = 4 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 175 | 525 |
| 22 and 131 | 2882 |
| 35 and 102 | 3570 |
| 106 and 181 | 19186 |
| 162 and 140 | 11340 |