Least Common Multiple (LCM) of 111 and 74
The least common multiple (LCM) of 111 and 74 is 222.
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 74?
First, calculate the GCD of 111 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 74 = 1 remainder 37 |
| 2 | 74 ÷ 37 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 116 | 5684 |
| 130 and 113 | 14690 |
| 78 and 13 | 78 |
| 13 and 150 | 1950 |
| 187 and 33 | 561 |