Least Common Multiple (LCM) of 162 and 52
The least common multiple (LCM) of 162 and 52 is 4212.
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 52?
First, calculate the GCD of 162 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 52 = 3 remainder 6 |
| 2 | 52 ÷ 6 = 8 remainder 4 |
| 3 | 6 ÷ 4 = 1 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 68 | 9860 |
| 163 and 32 | 5216 |
| 13 and 22 | 286 |
| 193 and 129 | 24897 |
| 137 and 46 | 6302 |