Least Common Multiple (LCM) of 74 and 351
The least common multiple (LCM) of 74 and 351 is 25974.
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 351?
First, calculate the GCD of 74 and 351 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 351 = 0 remainder 74 |
| 2 | 351 ÷ 74 = 4 remainder 55 |
| 3 | 74 ÷ 55 = 1 remainder 19 |
| 4 | 55 ÷ 19 = 2 remainder 17 |
| 5 | 19 ÷ 17 = 1 remainder 2 |
| 6 | 17 ÷ 2 = 8 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 130 | 4810 |
| 168 and 53 | 8904 |
| 52 and 33 | 1716 |
| 145 and 127 | 18415 |
| 127 and 148 | 18796 |