Least Common Multiple (LCM) of 74 and 44
The least common multiple (LCM) of 74 and 44 is 1628.
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 44?
First, calculate the GCD of 74 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 44 = 1 remainder 30 |
| 2 | 44 ÷ 30 = 1 remainder 14 |
| 3 | 30 ÷ 14 = 2 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 15 | 105 |
| 179 and 43 | 7697 |
| 17 and 189 | 3213 |
| 194 and 116 | 11252 |
| 25 and 23 | 575 |