Least Common Multiple (LCM) of 159 and 124
The least common multiple (LCM) of 159 and 124 is 19716.
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 124?
First, calculate the GCD of 159 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 124 = 1 remainder 35 |
| 2 | 124 ÷ 35 = 3 remainder 19 |
| 3 | 35 ÷ 19 = 1 remainder 16 |
| 4 | 19 ÷ 16 = 1 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 10 | 190 |
| 194 and 28 | 2716 |
| 191 and 45 | 8595 |
| 72 and 156 | 936 |
| 99 and 84 | 2772 |