Least Common Multiple (LCM) of 140 and 186
The least common multiple (LCM) of 140 and 186 is 13020.
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 186?
First, calculate the GCD of 140 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 186 = 0 remainder 140 |
| 2 | 186 ÷ 140 = 1 remainder 46 |
| 3 | 140 ÷ 46 = 3 remainder 2 |
| 4 | 46 ÷ 2 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 86 | 5246 |
| 165 and 103 | 16995 |
| 16 and 198 | 1584 |
| 112 and 106 | 5936 |
| 21 and 139 | 2919 |