Least Common Multiple (LCM) of 115 and 37
The least common multiple (LCM) of 115 and 37 is 4255.
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 115 and 37?
First, calculate the GCD of 115 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 37 = 3 remainder 4 |
| 2 | 37 ÷ 4 = 9 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 91 | 1547 |
| 196 and 50 | 4900 |
| 105 and 170 | 3570 |
| 123 and 24 | 984 |
| 197 and 135 | 26595 |