Least Common Multiple (LCM) of 122 and 16
The least common multiple (LCM) of 122 and 16 is 976.
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 16?
First, calculate the GCD of 122 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 16 = 7 remainder 10 |
| 2 | 16 ÷ 10 = 1 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 151 | 18724 |
| 25 and 33 | 825 |
| 190 and 107 | 20330 |
| 162 and 101 | 16362 |
| 90 and 119 | 10710 |