Least Common Multiple (LCM) of 187 and 140
The least common multiple (LCM) of 187 and 140 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 187 and 140?
First, calculate the GCD of 187 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 140 = 1 remainder 47 |
| 2 | 140 ÷ 47 = 2 remainder 46 |
| 3 | 47 ÷ 46 = 1 remainder 1 |
| 4 | 46 ÷ 1 = 46 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 49 | 980 |
| 124 and 35 | 4340 |
| 73 and 91 | 6643 |
| 136 and 122 | 8296 |
| 138 and 190 | 13110 |