Least Common Multiple (LCM) of 106 and 159
The least common multiple (LCM) of 106 and 159 is 318.
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 106 and 159?
First, calculate the GCD of 106 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 106 ÷ 159 = 0 remainder 106 |
| 2 | 159 ÷ 106 = 1 remainder 53 |
| 3 | 106 ÷ 53 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 33 | 2937 |
| 123 and 91 | 11193 |
| 53 and 19 | 1007 |
| 79 and 90 | 7110 |
| 58 and 123 | 7134 |