Least Common Multiple (LCM) of 36 and 115
The least common multiple (LCM) of 36 and 115 is 4140.
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 36 and 115?
First, calculate the GCD of 36 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 115 = 0 remainder 36 |
| 2 | 115 ÷ 36 = 3 remainder 7 |
| 3 | 36 ÷ 7 = 5 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 93 and 10 | 930 |
| 46 and 106 | 2438 |
| 54 and 42 | 378 |
| 106 and 25 | 2650 |
| 149 and 105 | 15645 |