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 |
|---|---|
| 132 and 81 | 3564 |
| 78 and 151 | 11778 |
| 44 and 172 | 1892 |
| 25 and 62 | 1550 |
| 180 and 58 | 5220 |