Least Common Multiple (LCM) of 159 and 94
The least common multiple (LCM) of 159 and 94 is 14946.
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 94?
First, calculate the GCD of 159 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 94 = 1 remainder 65 |
| 2 | 94 ÷ 65 = 1 remainder 29 |
| 3 | 65 ÷ 29 = 2 remainder 7 |
| 4 | 29 ÷ 7 = 4 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 22 | 1298 |
| 153 and 94 | 14382 |
| 198 and 27 | 594 |
| 100 and 20 | 100 |
| 54 and 17 | 918 |