Least Common Multiple (LCM) of 200 and 167
The least common multiple (LCM) of 200 and 167 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 200 and 167?
First, calculate the GCD of 200 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 167 = 1 remainder 33 |
| 2 | 167 ÷ 33 = 5 remainder 2 |
| 3 | 33 ÷ 2 = 16 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 87 | 609 |
| 104 and 189 | 19656 |
| 178 and 69 | 12282 |
| 165 and 153 | 8415 |
| 150 and 196 | 14700 |