Least Common Multiple (LCM) of 189 and 29
The least common multiple (LCM) of 189 and 29 is 5481.
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 189 and 29?
First, calculate the GCD of 189 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 29 = 6 remainder 15 |
| 2 | 29 ÷ 15 = 1 remainder 14 |
| 3 | 15 ÷ 14 = 1 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 47 and 147 | 6909 |
| 30 and 170 | 510 |
| 95 and 81 | 7695 |
| 58 and 180 | 5220 |
| 47 and 149 | 7003 |