Least Common Multiple (LCM) of 139 and 187
The least common multiple (LCM) of 139 and 187 is 25993.
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 187?
First, calculate the GCD of 139 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 187 = 0 remainder 139 |
| 2 | 187 ÷ 139 = 1 remainder 48 |
| 3 | 139 ÷ 48 = 2 remainder 43 |
| 4 | 48 ÷ 43 = 1 remainder 5 |
| 5 | 43 ÷ 5 = 8 remainder 3 |
| 6 | 5 ÷ 3 = 1 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 53 | 7579 |
| 122 and 99 | 12078 |
| 84 and 192 | 1344 |
| 45 and 12 | 180 |
| 192 and 71 | 13632 |