Least Common Multiple (LCM) of 167 and 185
The least common multiple (LCM) of 167 and 185 is 30895.
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 185?
First, calculate the GCD of 167 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 185 = 0 remainder 167 |
| 2 | 185 ÷ 167 = 1 remainder 18 |
| 3 | 167 ÷ 18 = 9 remainder 5 |
| 4 | 18 ÷ 5 = 3 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 85 | 13430 |
| 33 and 120 | 1320 |
| 78 and 152 | 5928 |
| 120 and 196 | 5880 |
| 15 and 133 | 1995 |