Least Common Multiple (LCM) of 159 and 172
The least common multiple (LCM) of 159 and 172 is 27348.
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 172?
First, calculate the GCD of 159 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 172 = 0 remainder 159 |
| 2 | 172 ÷ 159 = 1 remainder 13 |
| 3 | 159 ÷ 13 = 12 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 113 | 16385 |
| 133 and 142 | 18886 |
| 16 and 57 | 912 |
| 163 and 87 | 14181 |
| 109 and 162 | 17658 |