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 |
|---|---|
| 38 and 73 | 2774 |
| 83 and 24 | 1992 |
| 166 and 42 | 3486 |
| 112 and 76 | 2128 |
| 88 and 68 | 1496 |