Least Common Multiple (LCM) of 64 and 162
The least common multiple (LCM) of 64 and 162 is 5184.
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 64 and 162?
First, calculate the GCD of 64 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 162 = 0 remainder 64 |
| 2 | 162 ÷ 64 = 2 remainder 34 |
| 3 | 64 ÷ 34 = 1 remainder 30 |
| 4 | 34 ÷ 30 = 1 remainder 4 |
| 5 | 30 ÷ 4 = 7 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 116 | 13108 |
| 25 and 37 | 925 |
| 182 and 119 | 3094 |
| 14 and 180 | 1260 |
| 200 and 11 | 2200 |