Least Common Multiple (LCM) of 52 and 162
The least common multiple (LCM) of 52 and 162 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 52 and 162?
First, calculate the GCD of 52 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 162 = 0 remainder 52 |
| 2 | 162 ÷ 52 = 3 remainder 6 |
| 3 | 52 ÷ 6 = 8 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 124 | 12276 |
| 163 and 74 | 12062 |
| 119 and 64 | 7616 |
| 144 and 25 | 3600 |
| 10 and 23 | 230 |