Least Common Multiple (LCM) of 29 and 92
The least common multiple (LCM) of 29 and 92 is 2668.
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 92?
First, calculate the GCD of 29 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 92 = 0 remainder 29 |
| 2 | 92 ÷ 29 = 3 remainder 5 |
| 3 | 29 ÷ 5 = 5 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 71 | 9798 |
| 68 and 77 | 5236 |
| 39 and 54 | 702 |
| 32 and 114 | 1824 |
| 177 and 199 | 35223 |