Least Common Multiple (LCM) of 122 and 98
The least common multiple (LCM) of 122 and 98 is 5978.
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 98?
First, calculate the GCD of 122 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 98 = 1 remainder 24 |
| 2 | 98 ÷ 24 = 4 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 160 | 19680 |
| 184 and 15 | 2760 |
| 82 and 91 | 7462 |
| 47 and 177 | 8319 |
| 39 and 148 | 5772 |