Least Common Multiple (LCM) of 121 and 200
The least common multiple (LCM) of 121 and 200 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 121 and 200?
First, calculate the GCD of 121 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 200 = 0 remainder 121 |
| 2 | 200 ÷ 121 = 1 remainder 79 |
| 3 | 121 ÷ 79 = 1 remainder 42 |
| 4 | 79 ÷ 42 = 1 remainder 37 |
| 5 | 42 ÷ 37 = 1 remainder 5 |
| 6 | 37 ÷ 5 = 7 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 113 | 6780 |
| 117 and 176 | 20592 |
| 168 and 40 | 840 |
| 185 and 27 | 4995 |
| 164 and 139 | 22796 |