Least Common Multiple (LCM) of 140 and 141
The least common multiple (LCM) of 140 and 141 is 19740.
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 141?
First, calculate the GCD of 140 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 141 = 0 remainder 140 |
| 2 | 141 ÷ 140 = 1 remainder 1 |
| 3 | 140 ÷ 1 = 140 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 132 | 1320 |
| 44 and 132 | 132 |
| 24 and 103 | 2472 |
| 187 and 71 | 13277 |
| 125 and 88 | 11000 |