Least Common Multiple (LCM) of 200 and 153
The least common multiple (LCM) of 200 and 153 is 30600.
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 153?
First, calculate the GCD of 200 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 153 = 1 remainder 47 |
| 2 | 153 ÷ 47 = 3 remainder 12 |
| 3 | 47 ÷ 12 = 3 remainder 11 |
| 4 | 12 ÷ 11 = 1 remainder 1 |
| 5 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 21 | 3003 |
| 14 and 39 | 546 |
| 22 and 191 | 4202 |
| 198 and 75 | 4950 |
| 41 and 168 | 6888 |