Least Common Multiple (LCM) of 129 and 172
The least common multiple (LCM) of 129 and 172 is 516.
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 129 and 172?
First, calculate the GCD of 129 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 172 = 0 remainder 129 |
| 2 | 172 ÷ 129 = 1 remainder 43 |
| 3 | 129 ÷ 43 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 163 | 9780 |
| 113 and 76 | 8588 |
| 46 and 14 | 322 |
| 110 and 20 | 220 |
| 56 and 117 | 6552 |