Least Common Multiple (LCM) of 55 and 121
The least common multiple (LCM) of 55 and 121 is 605.
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 55 and 121?
First, calculate the GCD of 55 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 121 = 0 remainder 55 |
| 2 | 121 ÷ 55 = 2 remainder 11 |
| 3 | 55 ÷ 11 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 168 and 12 | 168 |
| 28 and 96 | 672 |
| 113 and 68 | 7684 |
| 108 and 149 | 16092 |
| 178 and 39 | 6942 |