Least Common Multiple (LCM) of 139 and 186
The least common multiple (LCM) of 139 and 186 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 139 and 186?
First, calculate the GCD of 139 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 186 = 0 remainder 139 |
| 2 | 186 ÷ 139 = 1 remainder 47 |
| 3 | 139 ÷ 47 = 2 remainder 45 |
| 4 | 47 ÷ 45 = 1 remainder 2 |
| 5 | 45 ÷ 2 = 22 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 135 | 4995 |
| 130 and 118 | 7670 |
| 183 and 164 | 30012 |
| 45 and 107 | 4815 |
| 15 and 174 | 870 |