Least Common Multiple (LCM) of 167 and 200
The least common multiple (LCM) of 167 and 200 is 33400.
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 200?
First, calculate the GCD of 167 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 200 = 0 remainder 167 |
| 2 | 200 ÷ 167 = 1 remainder 33 |
| 3 | 167 ÷ 33 = 5 remainder 2 |
| 4 | 33 ÷ 2 = 16 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 120 | 18120 |
| 11 and 68 | 748 |
| 12 and 34 | 204 |
| 197 and 105 | 20685 |
| 19 and 177 | 3363 |