Least Common Multiple (LCM) of 122 and 149
The least common multiple (LCM) of 122 and 149 is 18178.
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 149?
First, calculate the GCD of 122 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 149 = 0 remainder 122 |
| 2 | 149 ÷ 122 = 1 remainder 27 |
| 3 | 122 ÷ 27 = 4 remainder 14 |
| 4 | 27 ÷ 14 = 1 remainder 13 |
| 5 | 14 ÷ 13 = 1 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 167 | 9185 |
| 149 and 104 | 15496 |
| 178 and 92 | 8188 |
| 106 and 130 | 6890 |
| 59 and 194 | 11446 |