Least Common Multiple (LCM) of 200 and 132
The least common multiple (LCM) of 200 and 132 is 6600.
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 132?
First, calculate the GCD of 200 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 132 = 1 remainder 68 |
| 2 | 132 ÷ 68 = 1 remainder 64 |
| 3 | 68 ÷ 64 = 1 remainder 4 |
| 4 | 64 ÷ 4 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 67 | 10519 |
| 98 and 16 | 784 |
| 74 and 53 | 3922 |
| 18 and 141 | 846 |
| 189 and 67 | 12663 |