Least Common Multiple (LCM) of 172 and 159
The least common multiple (LCM) of 172 and 159 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 172 and 159?
First, calculate the GCD of 172 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 159 = 1 remainder 13 |
| 2 | 159 ÷ 13 = 12 remainder 3 |
| 3 | 13 ÷ 3 = 4 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 59 | 10856 |
| 106 and 105 | 11130 |
| 99 and 194 | 19206 |
| 129 and 124 | 15996 |
| 121 and 115 | 13915 |