Least Common Multiple (LCM) of 141 and 86
The least common multiple (LCM) of 141 and 86 is 12126.
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 86?
First, calculate the GCD of 141 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 86 = 1 remainder 55 |
| 2 | 86 ÷ 55 = 1 remainder 31 |
| 3 | 55 ÷ 31 = 1 remainder 24 |
| 4 | 31 ÷ 24 = 1 remainder 7 |
| 5 | 24 ÷ 7 = 3 remainder 3 |
| 6 | 7 ÷ 3 = 2 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 112 | 21840 |
| 187 and 77 | 1309 |
| 19 and 196 | 3724 |
| 15 and 163 | 2445 |
| 45 and 78 | 1170 |