Least Common Multiple (LCM) of 120 and 41
The least common multiple (LCM) of 120 and 41 is 4920.
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 41?
First, calculate the GCD of 120 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 120 ÷ 41 = 2 remainder 38 |
| 2 | 41 ÷ 38 = 1 remainder 3 |
| 3 | 38 ÷ 3 = 12 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 45 | 3195 |
| 47 and 15 | 705 |
| 77 and 81 | 6237 |
| 41 and 23 | 943 |
| 59 and 37 | 2183 |