Least Common Multiple (LCM) of 122 and 99
The least common multiple (LCM) of 122 and 99 is 12078.
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 99?
First, calculate the GCD of 122 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 99 = 1 remainder 23 |
| 2 | 99 ÷ 23 = 4 remainder 7 |
| 3 | 23 ÷ 7 = 3 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 119 | 17017 |
| 199 and 140 | 27860 |
| 158 and 129 | 20382 |
| 13 and 86 | 1118 |
| 25 and 189 | 4725 |