Least Common Multiple (LCM) of 121 and 99
The least common multiple (LCM) of 121 and 99 is 1089.
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 121 and 99?
First, calculate the GCD of 121 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 99 = 1 remainder 22 |
| 2 | 99 ÷ 22 = 4 remainder 11 |
| 3 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 53 | 8957 |
| 108 and 184 | 4968 |
| 137 and 64 | 8768 |
| 174 and 104 | 9048 |
| 34 and 133 | 4522 |