Least Common Multiple (LCM) of 187 and 164
The least common multiple (LCM) of 187 and 164 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 187 and 164?
First, calculate the GCD of 187 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 164 = 1 remainder 23 |
| 2 | 164 ÷ 23 = 7 remainder 3 |
| 3 | 23 ÷ 3 = 7 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 156 | 19500 |
| 52 and 116 | 1508 |
| 118 and 152 | 8968 |
| 52 and 83 | 4316 |
| 173 and 13 | 2249 |