Least Common Multiple (LCM) of 29 and 186
The least common multiple (LCM) of 29 and 186 is 5394.
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 29 and 186?
First, calculate the GCD of 29 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 186 = 0 remainder 29 |
| 2 | 186 ÷ 29 = 6 remainder 12 |
| 3 | 29 ÷ 12 = 2 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 83 | 11620 |
| 78 and 13 | 78 |
| 139 and 91 | 12649 |
| 129 and 14 | 1806 |
| 117 and 159 | 6201 |