Least Common Multiple (LCM) of 164 and 183
The least common multiple (LCM) of 164 and 183 is 30012.
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 183?
First, calculate the GCD of 164 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 183 = 0 remainder 164 |
| 2 | 183 ÷ 164 = 1 remainder 19 |
| 3 | 164 ÷ 19 = 8 remainder 12 |
| 4 | 19 ÷ 12 = 1 remainder 7 |
| 5 | 12 ÷ 7 = 1 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 39 | 2301 |
| 77 and 112 | 1232 |
| 184 and 80 | 1840 |
| 13 and 128 | 1664 |
| 102 and 38 | 1938 |