Least Common Multiple (LCM) of 165 and 140
The least common multiple (LCM) of 165 and 140 is 4620.
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 165 and 140?
First, calculate the GCD of 165 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 140 = 1 remainder 25 |
| 2 | 140 ÷ 25 = 5 remainder 15 |
| 3 | 25 ÷ 15 = 1 remainder 10 |
| 4 | 15 ÷ 10 = 1 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 195 | 585 |
| 37 and 156 | 5772 |
| 157 and 154 | 24178 |
| 161 and 119 | 2737 |
| 167 and 153 | 25551 |