Least Common Multiple (LCM) of 189 and 152
The least common multiple (LCM) of 189 and 152 is 28728.
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 152?
First, calculate the GCD of 189 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 152 = 1 remainder 37 |
| 2 | 152 ÷ 37 = 4 remainder 4 |
| 3 | 37 ÷ 4 = 9 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 14 | 952 |
| 126 and 121 | 15246 |
| 184 and 65 | 11960 |
| 180 and 15 | 180 |
| 83 and 81 | 6723 |