Least Common Multiple (LCM) of 142 and 185
The least common multiple (LCM) of 142 and 185 is 26270.
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 185?
First, calculate the GCD of 142 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 185 = 0 remainder 142 |
| 2 | 185 ÷ 142 = 1 remainder 43 |
| 3 | 142 ÷ 43 = 3 remainder 13 |
| 4 | 43 ÷ 13 = 3 remainder 4 |
| 5 | 13 ÷ 4 = 3 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 105 | 11130 |
| 17 and 191 | 3247 |
| 113 and 184 | 20792 |
| 197 and 34 | 6698 |
| 163 and 61 | 9943 |