Least Common Multiple (LCM) of 164 and 187
The least common multiple (LCM) of 164 and 187 is 30668.
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 187?
First, calculate the GCD of 164 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 187 = 0 remainder 164 |
| 2 | 187 ÷ 164 = 1 remainder 23 |
| 3 | 164 ÷ 23 = 7 remainder 3 |
| 4 | 23 ÷ 3 = 7 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 161 | 19642 |
| 150 and 136 | 10200 |
| 106 and 144 | 7632 |
| 65 and 46 | 2990 |
| 68 and 81 | 5508 |