Least Common Multiple (LCM) of 117 and 111
The least common multiple (LCM) of 117 and 111 is 4329.
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 117 and 111?
First, calculate the GCD of 117 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 111 = 1 remainder 6 |
| 2 | 111 ÷ 6 = 18 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 87 | 13746 |
| 169 and 45 | 7605 |
| 65 and 179 | 11635 |
| 199 and 118 | 23482 |
| 33 and 181 | 5973 |