Least Common Multiple (LCM) of 175 and 122
The least common multiple (LCM) of 175 and 122 is 21350.
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 175 and 122?
First, calculate the GCD of 175 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 122 = 1 remainder 53 |
| 2 | 122 ÷ 53 = 2 remainder 16 |
| 3 | 53 ÷ 16 = 3 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 96 | 672 |
| 173 and 175 | 30275 |
| 14 and 97 | 1358 |
| 132 and 119 | 15708 |
| 115 and 39 | 4485 |