Least Common Multiple (LCM) of 74 and 111
The least common multiple (LCM) of 74 and 111 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 74 and 111?
First, calculate the GCD of 74 and 111 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 111 = 0 remainder 74 |
| 2 | 111 ÷ 74 = 1 remainder 37 |
| 3 | 74 ÷ 37 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 136 | 15368 |
| 13 and 115 | 1495 |
| 200 and 123 | 24600 |
| 198 and 185 | 36630 |
| 120 and 66 | 1320 |