Least Common Multiple (LCM) of 200 and 136
The least common multiple (LCM) of 200 and 136 is 3400.
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 136?
First, calculate the GCD of 200 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 136 = 1 remainder 64 |
| 2 | 136 ÷ 64 = 2 remainder 8 |
| 3 | 64 ÷ 8 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 46 | 46 |
| 100 and 41 | 4100 |
| 124 and 97 | 12028 |
| 119 and 97 | 11543 |
| 167 and 85 | 14195 |