Least Common Multiple (LCM) of 185 and 142
The least common multiple (LCM) of 185 and 142 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 185 and 142?
First, calculate the GCD of 185 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 142 = 1 remainder 43 |
| 2 | 142 ÷ 43 = 3 remainder 13 |
| 3 | 43 ÷ 13 = 3 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 110 | 2530 |
| 96 and 40 | 480 |
| 78 and 109 | 8502 |
| 169 and 172 | 29068 |
| 165 and 122 | 20130 |