Least Common Multiple (LCM) of 164 and 73
The least common multiple (LCM) of 164 and 73 is 11972.
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 73?
First, calculate the GCD of 164 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 73 = 2 remainder 18 |
| 2 | 73 ÷ 18 = 4 remainder 1 |
| 3 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 172 | 29068 |
| 66 and 134 | 4422 |
| 135 and 91 | 12285 |
| 91 and 176 | 16016 |
| 108 and 109 | 11772 |