Least Common Multiple (LCM) of 200 and 52
The least common multiple (LCM) of 200 and 52 is 2600.
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 52?
First, calculate the GCD of 200 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 52 = 3 remainder 44 |
| 2 | 52 ÷ 44 = 1 remainder 8 |
| 3 | 44 ÷ 8 = 5 remainder 4 |
| 4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 92 | 4876 |
| 188 and 143 | 26884 |
| 111 and 197 | 21867 |
| 108 and 151 | 16308 |
| 16 and 145 | 2320 |