Least Common Multiple (LCM) of 190 and 200
The least common multiple (LCM) of 190 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 190 and 200?
First, calculate the GCD of 190 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 200 = 0 remainder 190 |
| 2 | 200 ÷ 190 = 1 remainder 10 |
| 3 | 190 ÷ 10 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 42 | 714 |
| 104 and 70 | 3640 |
| 117 and 151 | 17667 |
| 77 and 165 | 1155 |
| 13 and 104 | 104 |