Least Common Multiple (LCM) of 162 and 140
The least common multiple (LCM) of 162 and 140 is 11340.
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 162 and 140?
First, calculate the GCD of 162 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 140 = 1 remainder 22 |
| 2 | 140 ÷ 22 = 6 remainder 8 |
| 3 | 22 ÷ 8 = 2 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 145 | 11310 |
| 55 and 82 | 4510 |
| 78 and 80 | 3120 |
| 146 and 45 | 6570 |
| 150 and 190 | 2850 |