Least Common Multiple (LCM) of 111 and 185
The least common multiple (LCM) of 111 and 185 is 555.
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 111 and 185?
First, calculate the GCD of 111 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 185 = 0 remainder 111 |
| 2 | 185 ÷ 111 = 1 remainder 74 |
| 3 | 111 ÷ 74 = 1 remainder 37 |
| 4 | 74 ÷ 37 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 114 | 13566 |
| 115 and 118 | 13570 |
| 33 and 49 | 1617 |
| 23 and 200 | 4600 |
| 42 and 145 | 6090 |