Least Common Multiple (LCM) of 142 and 200
The least common multiple (LCM) of 142 and 200 is 14200.
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 142 and 200?
First, calculate the GCD of 142 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 200 = 0 remainder 142 |
| 2 | 200 ÷ 142 = 1 remainder 58 |
| 3 | 142 ÷ 58 = 2 remainder 26 |
| 4 | 58 ÷ 26 = 2 remainder 6 |
| 5 | 26 ÷ 6 = 4 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 11 | 759 |
| 19 and 116 | 2204 |
| 138 and 70 | 4830 |
| 131 and 188 | 24628 |
| 134 and 135 | 18090 |