Least Common Multiple (LCM) of 177 and 129
The least common multiple (LCM) of 177 and 129 is 7611.
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 177 and 129?
First, calculate the GCD of 177 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 129 = 1 remainder 48 |
| 2 | 129 ÷ 48 = 2 remainder 33 |
| 3 | 48 ÷ 33 = 1 remainder 15 |
| 4 | 33 ÷ 15 = 2 remainder 3 |
| 5 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 198 | 1980 |
| 61 and 93 | 5673 |
| 161 and 135 | 21735 |
| 137 and 158 | 21646 |
| 75 and 162 | 4050 |