Least Common Multiple (LCM) of 99 and 124
The least common multiple (LCM) of 99 and 124 is 12276.
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 99 and 124?
First, calculate the GCD of 99 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 124 = 0 remainder 99 |
| 2 | 124 ÷ 99 = 1 remainder 25 |
| 3 | 99 ÷ 25 = 3 remainder 24 |
| 4 | 25 ÷ 24 = 1 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 140 | 1260 |
| 124 and 124 | 124 |
| 107 and 143 | 15301 |
| 91 and 34 | 3094 |
| 93 and 91 | 8463 |