Least Common Multiple (LCM) of 182 and 200
The least common multiple (LCM) of 182 and 200 is 18200.
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 182 and 200?
First, calculate the GCD of 182 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 200 = 0 remainder 182 |
| 2 | 200 ÷ 182 = 1 remainder 18 |
| 3 | 182 ÷ 18 = 10 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 85 | 4930 |
| 174 and 40 | 3480 |
| 42 and 127 | 5334 |
| 139 and 152 | 21128 |
| 106 and 76 | 4028 |