Least Common Multiple (LCM) of 119 and 41
The least common multiple (LCM) of 119 and 41 is 4879.
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 119 and 41?
First, calculate the GCD of 119 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 41 = 2 remainder 37 |
| 2 | 41 ÷ 37 = 1 remainder 4 |
| 3 | 37 ÷ 4 = 9 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 121 | 4719 |
| 190 and 38 | 190 |
| 103 and 94 | 9682 |
| 15 and 89 | 1335 |
| 23 and 104 | 2392 |