Least Common Multiple (LCM) of 159 and 84
The least common multiple (LCM) of 159 and 84 is 4452.
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 159 and 84?
First, calculate the GCD of 159 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 84 = 1 remainder 75 |
| 2 | 84 ÷ 75 = 1 remainder 9 |
| 3 | 75 ÷ 9 = 8 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 59 | 7316 |
| 39 and 176 | 6864 |
| 117 and 13 | 117 |
| 113 and 45 | 5085 |
| 162 and 142 | 11502 |