Least Common Multiple (LCM) of 120 and 11
The least common multiple (LCM) of 120 and 11 is 1320.
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 120 and 11?
First, calculate the GCD of 120 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 11 = 10 remainder 10 |
| 2 | 11 ÷ 10 = 1 remainder 1 |
| 3 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 22 | 4334 |
| 25 and 180 | 900 |
| 155 and 147 | 22785 |
| 106 and 180 | 9540 |
| 51 and 101 | 5151 |