Least Common Multiple (LCM) of 189 and 147
The least common multiple (LCM) of 189 and 147 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 189 and 147?
First, calculate the GCD of 189 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 147 = 1 remainder 42 |
| 2 | 147 ÷ 42 = 3 remainder 21 |
| 3 | 42 ÷ 21 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 81 | 14904 |
| 120 and 48 | 240 |
| 178 and 138 | 12282 |
| 70 and 168 | 840 |
| 100 and 28 | 700 |