Least Common Multiple (LCM) of 53 and 159
The least common multiple (LCM) of 53 and 159 is 159.
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 53 and 159?
First, calculate the GCD of 53 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 53 ÷ 159 = 0 remainder 53 |
| 2 | 159 ÷ 53 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 122 | 13298 |
| 107 and 92 | 9844 |
| 81 and 94 | 7614 |
| 65 and 82 | 5330 |
| 99 and 47 | 4653 |