Least Common Multiple (LCM) of 29 and 187
The least common multiple (LCM) of 29 and 187 is 5423.
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 187?
First, calculate the GCD of 29 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 29 ÷ 187 = 0 remainder 29 |
| 2 | 187 ÷ 29 = 6 remainder 13 |
| 3 | 29 ÷ 13 = 2 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 33 | 330 |
| 196 and 29 | 5684 |
| 34 and 117 | 3978 |
| 116 and 99 | 11484 |
| 76 and 159 | 12084 |