Least Common Multiple (LCM) of 200 and 150
The least common multiple (LCM) of 200 and 150 is 600.
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 150?
First, calculate the GCD of 200 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 150 = 1 remainder 50 |
| 2 | 150 ÷ 50 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 18 | 1206 |
| 40 and 189 | 7560 |
| 60 and 145 | 1740 |
| 49 and 118 | 5782 |
| 177 and 172 | 30444 |