Least Common Multiple (LCM) of 167 and 188
The least common multiple (LCM) of 167 and 188 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 167 and 188?
First, calculate the GCD of 167 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 188 = 0 remainder 167 |
| 2 | 188 ÷ 167 = 1 remainder 21 |
| 3 | 167 ÷ 21 = 7 remainder 20 |
| 4 | 21 ÷ 20 = 1 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 92 | 18308 |
| 105 and 148 | 15540 |
| 192 and 136 | 3264 |
| 112 and 135 | 15120 |
| 138 and 163 | 22494 |