Least Common Multiple (LCM) of 86 and 141
The least common multiple (LCM) of 86 and 141 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 86 and 141?
First, calculate the GCD of 86 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 141 = 0 remainder 86 |
| 2 | 141 ÷ 86 = 1 remainder 55 |
| 3 | 86 ÷ 55 = 1 remainder 31 |
| 4 | 55 ÷ 31 = 1 remainder 24 |
| 5 | 31 ÷ 24 = 1 remainder 7 |
| 6 | 24 ÷ 7 = 3 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 50 | 4450 |
| 120 and 176 | 2640 |
| 143 and 48 | 6864 |
| 116 and 92 | 2668 |
| 198 and 145 | 28710 |