Least Common Multiple (LCM) of 160 and 140
The least common multiple (LCM) of 160 and 140 is 1120.
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 160 and 140?
First, calculate the GCD of 160 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 140 = 1 remainder 20 |
| 2 | 140 ÷ 20 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 125 | 3500 |
| 149 and 101 | 15049 |
| 17 and 33 | 561 |
| 186 and 92 | 8556 |
| 199 and 132 | 26268 |