Least Common Multiple (LCM) of 121 and 54
The least common multiple (LCM) of 121 and 54 is 6534.
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 54?
First, calculate the GCD of 121 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 54 = 2 remainder 13 |
| 2 | 54 ÷ 13 = 4 remainder 2 |
| 3 | 13 ÷ 2 = 6 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 192 | 6720 |
| 34 and 51 | 102 |
| 106 and 74 | 3922 |
| 199 and 53 | 10547 |
| 138 and 154 | 10626 |