Least Common Multiple (LCM) of 118 and 111
The least common multiple (LCM) of 118 and 111 is 13098.
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 118 and 111?
First, calculate the GCD of 118 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 111 = 1 remainder 7 |
| 2 | 111 ÷ 7 = 15 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 60 | 6780 |
| 111 and 40 | 4440 |
| 59 and 32 | 1888 |
| 90 and 77 | 6930 |
| 91 and 32 | 2912 |