Least Common Multiple (LCM) of 200 and 62
The least common multiple (LCM) of 200 and 62 is 6200.
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 62?
First, calculate the GCD of 200 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 200 ÷ 62 = 3 remainder 14 |
| 2 | 62 ÷ 14 = 4 remainder 6 |
| 3 | 14 ÷ 6 = 2 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 175 | 31150 |
| 112 and 28 | 112 |
| 76 and 99 | 7524 |
| 149 and 48 | 7152 |
| 54 and 114 | 1026 |