Least Common Multiple (LCM) of 46 and 200
The least common multiple (LCM) of 46 and 200 is 4600.
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 46 and 200?
First, calculate the GCD of 46 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 46 ÷ 200 = 0 remainder 46 |
| 2 | 200 ÷ 46 = 4 remainder 16 |
| 3 | 46 ÷ 16 = 2 remainder 14 |
| 4 | 16 ÷ 14 = 1 remainder 2 |
| 5 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 184 | 5336 |
| 164 and 98 | 8036 |
| 194 and 125 | 24250 |
| 138 and 136 | 9384 |
| 60 and 197 | 11820 |