Least Common Multiple (LCM) of 188 and 167
The least common multiple (LCM) of 188 and 167 is 31396.
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 188 and 167?
First, calculate the GCD of 188 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 167 = 1 remainder 21 |
| 2 | 167 ÷ 21 = 7 remainder 20 |
| 3 | 21 ÷ 20 = 1 remainder 1 |
| 4 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 133 | 19152 |
| 103 and 49 | 5047 |
| 193 and 40 | 7720 |
| 188 and 200 | 9400 |
| 111 and 53 | 5883 |