Least Common Multiple (LCM) of 172 and 200
The least common multiple (LCM) of 172 and 200 is 8600.
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 172 and 200?
First, calculate the GCD of 172 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 200 = 0 remainder 172 |
| 2 | 200 ÷ 172 = 1 remainder 28 |
| 3 | 172 ÷ 28 = 6 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 133 | 2261 |
| 71 and 26 | 1846 |
| 101 and 103 | 10403 |
| 86 and 104 | 4472 |
| 52 and 93 | 4836 |