Least Common Multiple (LCM) of 200 and 156
The least common multiple (LCM) of 200 and 156 is 7800.
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 156?
First, calculate the GCD of 200 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 156 = 1 remainder 44 |
| 2 | 156 ÷ 44 = 3 remainder 24 |
| 3 | 44 ÷ 24 = 1 remainder 20 |
| 4 | 24 ÷ 20 = 1 remainder 4 |
| 5 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 155 | 15965 |
| 105 and 159 | 5565 |
| 133 and 196 | 3724 |
| 24 and 98 | 1176 |
| 131 and 119 | 15589 |