Least Common Multiple (LCM) of 74 and 127
The least common multiple (LCM) of 74 and 127 is 9398.
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 127?
First, calculate the GCD of 74 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 127 = 0 remainder 74 |
| 2 | 127 ÷ 74 = 1 remainder 53 |
| 3 | 74 ÷ 53 = 1 remainder 21 |
| 4 | 53 ÷ 21 = 2 remainder 11 |
| 5 | 21 ÷ 11 = 1 remainder 10 |
| 6 | 11 ÷ 10 = 1 remainder 1 |
| 7 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 89 | 1513 |
| 38 and 25 | 950 |
| 47 and 68 | 3196 |
| 169 and 12 | 2028 |
| 53 and 172 | 9116 |