Least Common Multiple (LCM) of 200 and 60
The least common multiple (LCM) of 200 and 60 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 60?
First, calculate the GCD of 200 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 60 = 3 remainder 20 |
| 2 | 60 ÷ 20 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 20 | 1860 |
| 84 and 32 | 672 |
| 108 and 122 | 6588 |
| 41 and 75 | 3075 |
| 134 and 88 | 5896 |