Least Common Multiple (LCM) of 86 and 151
The least common multiple (LCM) of 86 and 151 is 12986.
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 151?
First, calculate the GCD of 86 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 151 = 0 remainder 86 |
| 2 | 151 ÷ 86 = 1 remainder 65 |
| 3 | 86 ÷ 65 = 1 remainder 21 |
| 4 | 65 ÷ 21 = 3 remainder 2 |
| 5 | 21 ÷ 2 = 10 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 83 | 5893 |
| 54 and 39 | 702 |
| 198 and 195 | 12870 |
| 19 and 68 | 1292 |
| 197 and 88 | 17336 |