Least Common Multiple (LCM) of 118 and 143
The least common multiple (LCM) of 118 and 143 is 16874.
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 118 and 143?
First, calculate the GCD of 118 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 143 = 0 remainder 118 |
| 2 | 143 ÷ 118 = 1 remainder 25 |
| 3 | 118 ÷ 25 = 4 remainder 18 |
| 4 | 25 ÷ 18 = 1 remainder 7 |
| 5 | 18 ÷ 7 = 2 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 85 | 9265 |
| 87 and 62 | 5394 |
| 115 and 51 | 5865 |
| 135 and 22 | 2970 |
| 35 and 135 | 945 |