Least Common Multiple (LCM) of 122 and 179
The least common multiple (LCM) of 122 and 179 is 21838.
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 122 and 179?
First, calculate the GCD of 122 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 179 = 0 remainder 122 |
| 2 | 179 ÷ 122 = 1 remainder 57 |
| 3 | 122 ÷ 57 = 2 remainder 8 |
| 4 | 57 ÷ 8 = 7 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 175 | 4025 |
| 177 and 87 | 5133 |
| 146 and 126 | 9198 |
| 103 and 177 | 18231 |
| 114 and 161 | 18354 |