Least Common Multiple (LCM) of 162 and 130
The least common multiple (LCM) of 162 and 130 is 10530.
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 130?
First, calculate the GCD of 162 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 130 = 1 remainder 32 |
| 2 | 130 ÷ 32 = 4 remainder 2 |
| 3 | 32 ÷ 2 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 140 | 140 |
| 158 and 109 | 17222 |
| 56 and 61 | 3416 |
| 122 and 69 | 8418 |
| 85 and 137 | 11645 |