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 |
|---|---|
| 17 and 147 | 2499 |
| 17 and 124 | 2108 |
| 155 and 121 | 18755 |
| 125 and 42 | 5250 |
| 100 and 148 | 3700 |