Least Common Multiple (LCM) of 186 and 139
The least common multiple (LCM) of 186 and 139 is 25854.
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 186 and 139?
First, calculate the GCD of 186 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 139 = 1 remainder 47 |
| 2 | 139 ÷ 47 = 2 remainder 45 |
| 3 | 47 ÷ 45 = 1 remainder 2 |
| 4 | 45 ÷ 2 = 22 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 89 | 12816 |
| 79 and 191 | 15089 |
| 38 and 144 | 2736 |
| 180 and 141 | 8460 |
| 151 and 117 | 17667 |