Least Common Multiple (LCM) of 116 and 140
The least common multiple (LCM) of 116 and 140 is 4060.
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 116 and 140?
First, calculate the GCD of 116 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 140 = 0 remainder 116 |
| 2 | 140 ÷ 116 = 1 remainder 24 |
| 3 | 116 ÷ 24 = 4 remainder 20 |
| 4 | 24 ÷ 20 = 1 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 111 | 13875 |
| 197 and 166 | 32702 |
| 55 and 191 | 10505 |
| 23 and 171 | 3933 |
| 45 and 20 | 180 |