Least Common Multiple (LCM) of 110 and 122
The least common multiple (LCM) of 110 and 122 is 6710.
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 110 and 122?
First, calculate the GCD of 110 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 122 = 0 remainder 110 |
| 2 | 122 ÷ 110 = 1 remainder 12 |
| 3 | 110 ÷ 12 = 9 remainder 2 |
| 4 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 58 | 5568 |
| 193 and 149 | 28757 |
| 51 and 197 | 10047 |
| 87 and 139 | 12093 |
| 38 and 141 | 5358 |