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 |
|---|---|
| 152 and 52 | 1976 |
| 92 and 50 | 2300 |
| 179 and 177 | 31683 |
| 110 and 63 | 6930 |
| 70 and 40 | 280 |