Least Common Multiple (LCM) of 111 and 37
The least common multiple (LCM) of 111 and 37 is 111.
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 37?
First, calculate the GCD of 111 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 37 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 128 | 23424 |
| 69 and 109 | 7521 |
| 181 and 89 | 16109 |
| 133 and 157 | 20881 |
| 57 and 156 | 2964 |