Least Common Multiple (LCM) of 147 and 189
The least common multiple (LCM) of 147 and 189 is 1323.
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 147 and 189?
First, calculate the GCD of 147 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 189 = 0 remainder 147 |
| 2 | 189 ÷ 147 = 1 remainder 42 |
| 3 | 147 ÷ 42 = 3 remainder 21 |
| 4 | 42 ÷ 21 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 158 | 16590 |
| 102 and 10 | 510 |
| 19 and 11 | 209 |
| 52 and 141 | 7332 |
| 115 and 25 | 575 |