Least Common Multiple (LCM) of 150 and 200
The least common multiple (LCM) of 150 and 200 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 150 and 200?
First, calculate the GCD of 150 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 200 = 0 remainder 150 |
| 2 | 200 ÷ 150 = 1 remainder 50 |
| 3 | 150 ÷ 50 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 59 | 9794 |
| 197 and 155 | 30535 |
| 184 and 124 | 5704 |
| 25 and 193 | 4825 |
| 198 and 174 | 5742 |