Least Common Multiple (LCM) of 107 and 86
The least common multiple (LCM) of 107 and 86 is 9202.
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 107 and 86?
First, calculate the GCD of 107 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 107 ÷ 86 = 1 remainder 21 |
| 2 | 86 ÷ 21 = 4 remainder 2 |
| 3 | 21 ÷ 2 = 10 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 23 | 1219 |
| 38 and 141 | 5358 |
| 200 and 176 | 4400 |
| 103 and 111 | 11433 |
| 130 and 160 | 2080 |