Least Common Multiple (LCM) of 176 and 122
The least common multiple (LCM) of 176 and 122 is 10736.
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 176 and 122?
First, calculate the GCD of 176 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 122 = 1 remainder 54 |
| 2 | 122 ÷ 54 = 2 remainder 14 |
| 3 | 54 ÷ 14 = 3 remainder 12 |
| 4 | 14 ÷ 12 = 1 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 143 | 28600 |
| 103 and 65 | 6695 |
| 189 and 19 | 3591 |
| 176 and 125 | 22000 |
| 153 and 50 | 7650 |