Least Common Multiple (LCM) of 158 and 200
The least common multiple (LCM) of 158 and 200 is 15800.
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 158 and 200?
First, calculate the GCD of 158 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 200 = 0 remainder 158 |
| 2 | 200 ÷ 158 = 1 remainder 42 |
| 3 | 158 ÷ 42 = 3 remainder 32 |
| 4 | 42 ÷ 32 = 1 remainder 10 |
| 5 | 32 ÷ 10 = 3 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 24 | 120 |
| 193 and 37 | 7141 |
| 162 and 21 | 1134 |
| 140 and 74 | 5180 |
| 200 and 170 | 3400 |