Least Common Multiple (LCM) of 140 and 187
The least common multiple (LCM) of 140 and 187 is 26180.
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 140 and 187?
First, calculate the GCD of 140 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 187 = 0 remainder 140 |
| 2 | 187 ÷ 140 = 1 remainder 47 |
| 3 | 140 ÷ 47 = 2 remainder 46 |
| 4 | 47 ÷ 46 = 1 remainder 1 |
| 5 | 46 ÷ 1 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 64 | 192 |
| 129 and 41 | 5289 |
| 198 and 185 | 36630 |
| 84 and 197 | 16548 |
| 97 and 67 | 6499 |