Least Common Multiple (LCM) of 121 and 108
The least common multiple (LCM) of 121 and 108 is 13068.
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 108?
First, calculate the GCD of 121 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 108 = 1 remainder 13 |
| 2 | 108 ÷ 13 = 8 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 73 | 6132 |
| 80 and 178 | 7120 |
| 135 and 46 | 6210 |
| 109 and 71 | 7739 |
| 190 and 19 | 190 |