Least Common Multiple (LCM) of 86 and 137
The least common multiple (LCM) of 86 and 137 is 11782.
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 137?
First, calculate the GCD of 86 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 137 = 0 remainder 86 |
| 2 | 137 ÷ 86 = 1 remainder 51 |
| 3 | 86 ÷ 51 = 1 remainder 35 |
| 4 | 51 ÷ 35 = 1 remainder 16 |
| 5 | 35 ÷ 16 = 2 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 52 | 1404 |
| 49 and 190 | 9310 |
| 51 and 157 | 8007 |
| 180 and 97 | 17460 |
| 18 and 74 | 666 |