Least Common Multiple (LCM) of 116 and 39
The least common multiple (LCM) of 116 and 39 is 4524.
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 116 and 39?
First, calculate the GCD of 116 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 39 = 2 remainder 38 |
| 2 | 39 ÷ 38 = 1 remainder 1 |
| 3 | 38 ÷ 1 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 135 | 21195 |
| 117 and 68 | 7956 |
| 163 and 50 | 8150 |
| 14 and 123 | 1722 |
| 107 and 100 | 10700 |