Least Common Multiple (LCM) of 122 and 175
The least common multiple (LCM) of 122 and 175 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 122 and 175?
First, calculate the GCD of 122 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 175 = 0 remainder 122 |
| 2 | 175 ÷ 122 = 1 remainder 53 |
| 3 | 122 ÷ 53 = 2 remainder 16 |
| 4 | 53 ÷ 16 = 3 remainder 5 |
| 5 | 16 ÷ 5 = 3 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 168 | 13944 |
| 26 and 130 | 130 |
| 123 and 168 | 6888 |
| 122 and 114 | 6954 |
| 73 and 190 | 13870 |