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 |
|---|---|
| 49 and 60 | 2940 |
| 164 and 182 | 14924 |
| 193 and 178 | 34354 |
| 166 and 109 | 18094 |
| 111 and 93 | 3441 |