Least Common Multiple (LCM) of 183 and 167
The least common multiple (LCM) of 183 and 167 is 30561.
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 183 and 167?
First, calculate the GCD of 183 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 167 = 1 remainder 16 |
| 2 | 167 ÷ 16 = 10 remainder 7 |
| 3 | 16 ÷ 7 = 2 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 161 | 22701 |
| 101 and 111 | 11211 |
| 166 and 133 | 22078 |
| 116 and 67 | 7772 |
| 123 and 178 | 21894 |