Least Common Multiple (LCM) of 200 and 27
The least common multiple (LCM) of 200 and 27 is 5400.
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 27?
First, calculate the GCD of 200 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 27 = 7 remainder 11 |
| 2 | 27 ÷ 11 = 2 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 58 | 9338 |
| 198 and 189 | 4158 |
| 158 and 99 | 15642 |
| 113 and 110 | 12430 |
| 36 and 79 | 2844 |