Least Common Multiple (LCM) of 140 and 185
The least common multiple (LCM) of 140 and 185 is 5180.
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 140 and 185?
First, calculate the GCD of 140 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 185 = 0 remainder 140 |
| 2 | 185 ÷ 140 = 1 remainder 45 |
| 3 | 140 ÷ 45 = 3 remainder 5 |
| 4 | 45 ÷ 5 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 98 and 55 | 5390 |
| 71 and 66 | 4686 |
| 31 and 111 | 3441 |
| 180 and 187 | 33660 |
| 18 and 95 | 1710 |