Least Common Multiple (LCM) of 116 and 111
The least common multiple (LCM) of 116 and 111 is 12876.
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 111?
First, calculate the GCD of 116 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 111 = 1 remainder 5 |
| 2 | 111 ÷ 5 = 22 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 60 | 300 |
| 97 and 52 | 5044 |
| 114 and 90 | 1710 |
| 162 and 82 | 6642 |
| 100 and 106 | 5300 |