Least Common Multiple (LCM) of 161 and 200
The least common multiple (LCM) of 161 and 200 is 32200.
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 161 and 200?
First, calculate the GCD of 161 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 161 ÷ 200 = 0 remainder 161 |
| 2 | 200 ÷ 161 = 1 remainder 39 |
| 3 | 161 ÷ 39 = 4 remainder 5 |
| 4 | 39 ÷ 5 = 7 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 38 | 1026 |
| 54 and 101 | 5454 |
| 74 and 137 | 10138 |
| 154 and 61 | 9394 |
| 50 and 88 | 2200 |