Least Common Multiple (LCM) of 140 and 110
The least common multiple (LCM) of 140 and 110 is 1540.
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 110?
First, calculate the GCD of 140 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 110 = 1 remainder 30 |
| 2 | 110 ÷ 30 = 3 remainder 20 |
| 3 | 30 ÷ 20 = 1 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 15 | 510 |
| 200 and 200 | 200 |
| 199 and 168 | 33432 |
| 118 and 74 | 4366 |
| 112 and 20 | 560 |