Least Common Multiple (LCM) of 168 and 200
The least common multiple (LCM) of 168 and 200 is 4200.
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 168 and 200?
First, calculate the GCD of 168 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 200 = 0 remainder 168 |
| 2 | 200 ÷ 168 = 1 remainder 32 |
| 3 | 168 ÷ 32 = 5 remainder 8 |
| 4 | 32 ÷ 8 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 111 | 19758 |
| 114 and 48 | 912 |
| 109 and 125 | 13625 |
| 108 and 174 | 3132 |
| 146 and 159 | 23214 |