Least Common Multiple (LCM) of 164 and 93
The least common multiple (LCM) of 164 and 93 is 15252.
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 164 and 93?
First, calculate the GCD of 164 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 93 = 1 remainder 71 |
| 2 | 93 ÷ 71 = 1 remainder 22 |
| 3 | 71 ÷ 22 = 3 remainder 5 |
| 4 | 22 ÷ 5 = 4 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 89 | 16821 |
| 23 and 148 | 3404 |
| 164 and 43 | 7052 |
| 163 and 195 | 31785 |
| 154 and 40 | 3080 |