Least Common Multiple (LCM) of 162 and 53
The least common multiple (LCM) of 162 and 53 is 8586.
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 53?
First, calculate the GCD of 162 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 53 = 3 remainder 3 |
| 2 | 53 ÷ 3 = 17 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 189 | 24003 |
| 140 and 35 | 140 |
| 33 and 200 | 6600 |
| 23 and 165 | 3795 |
| 189 and 145 | 27405 |