Least Common Multiple (LCM) of 161 and 188
The least common multiple (LCM) of 161 and 188 is 30268.
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 161 and 188?
First, calculate the GCD of 161 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 188 = 0 remainder 161 |
| 2 | 188 ÷ 161 = 1 remainder 27 |
| 3 | 161 ÷ 27 = 5 remainder 26 |
| 4 | 27 ÷ 26 = 1 remainder 1 |
| 5 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 188 | 752 |
| 44 and 89 | 3916 |
| 174 and 120 | 3480 |
| 23 and 181 | 4163 |
| 115 and 97 | 11155 |