Least Common Multiple (LCM) of 95 and 200
The least common multiple (LCM) of 95 and 200 is 3800.
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 95 and 200?
First, calculate the GCD of 95 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 200 = 0 remainder 95 |
| 2 | 200 ÷ 95 = 2 remainder 10 |
| 3 | 95 ÷ 10 = 9 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 105 | 3570 |
| 120 and 161 | 19320 |
| 64 and 37 | 2368 |
| 49 and 48 | 2352 |
| 78 and 50 | 1950 |