Least Common Multiple (LCM) of 140 and 161
The least common multiple (LCM) of 140 and 161 is 3220.
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 161?
First, calculate the GCD of 140 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 161 = 0 remainder 140 |
| 2 | 161 ÷ 140 = 1 remainder 21 |
| 3 | 140 ÷ 21 = 6 remainder 14 |
| 4 | 21 ÷ 14 = 1 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 57 | 2280 |
| 150 and 160 | 2400 |
| 71 and 154 | 10934 |
| 197 and 102 | 20094 |
| 192 and 110 | 10560 |