Least Common Multiple (LCM) of 140 and 188
The least common multiple (LCM) of 140 and 188 is 6580.
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 188?
First, calculate the GCD of 140 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 188 = 0 remainder 140 |
| 2 | 188 ÷ 140 = 1 remainder 48 |
| 3 | 140 ÷ 48 = 2 remainder 44 |
| 4 | 48 ÷ 44 = 1 remainder 4 |
| 5 | 44 ÷ 4 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 119 | 15589 |
| 74 and 35 | 2590 |
| 57 and 155 | 8835 |
| 17 and 180 | 3060 |
| 105 and 110 | 2310 |