Least Common Multiple (LCM) of 187 and 29
The least common multiple (LCM) of 187 and 29 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 187 and 29?
First, calculate the GCD of 187 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 29 = 6 remainder 13 |
| 2 | 29 ÷ 13 = 2 remainder 3 |
| 3 | 13 ÷ 3 = 4 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 45 | 5220 |
| 14 and 172 | 1204 |
| 120 and 140 | 840 |
| 191 and 10 | 1910 |
| 53 and 196 | 10388 |