Least Common Multiple (LCM) of 187 and 167
The least common multiple (LCM) of 187 and 167 is 31229.
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 167?
First, calculate the GCD of 187 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 167 = 1 remainder 20 |
| 2 | 167 ÷ 20 = 8 remainder 7 |
| 3 | 20 ÷ 7 = 2 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 112 | 9520 |
| 104 and 67 | 6968 |
| 100 and 18 | 900 |
| 59 and 38 | 2242 |
| 128 and 44 | 1408 |