Least Common Multiple (LCM) of 192 and 164
The least common multiple (LCM) of 192 and 164 is 7872.
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 192 and 164?
First, calculate the GCD of 192 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 192 ÷ 164 = 1 remainder 28 |
| 2 | 164 ÷ 28 = 5 remainder 24 |
| 3 | 28 ÷ 24 = 1 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 129 | 9030 |
| 107 and 63 | 6741 |
| 74 and 67 | 4958 |
| 147 and 97 | 14259 |
| 23 and 103 | 2369 |