Least Common Multiple (LCM) of 200 and 121
The least common multiple (LCM) of 200 and 121 is 24200.
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 121?
First, calculate the GCD of 200 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 121 = 1 remainder 79 |
| 2 | 121 ÷ 79 = 1 remainder 42 |
| 3 | 79 ÷ 42 = 1 remainder 37 |
| 4 | 42 ÷ 37 = 1 remainder 5 |
| 5 | 37 ÷ 5 = 7 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 117 | 10998 |
| 108 and 90 | 540 |
| 108 and 13 | 1404 |
| 166 and 195 | 32370 |
| 120 and 75 | 600 |