Least Common Multiple (LCM) of 187 and 138
The least common multiple (LCM) of 187 and 138 is 25806.
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 187 and 138?
First, calculate the GCD of 187 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 138 = 1 remainder 49 |
| 2 | 138 ÷ 49 = 2 remainder 40 |
| 3 | 49 ÷ 40 = 1 remainder 9 |
| 4 | 40 ÷ 9 = 4 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 28 | 1876 |
| 150 and 84 | 2100 |
| 46 and 90 | 2070 |
| 66 and 107 | 7062 |
| 108 and 160 | 4320 |