Least Common Multiple (LCM) of 525 and 737
The least common multiple (LCM) of 525 and 737 is 386925.
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 525 and 737?
First, calculate the GCD of 525 and 737 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 525 ÷ 737 = 0 remainder 525 |
| 2 | 737 ÷ 525 = 1 remainder 212 |
| 3 | 525 ÷ 212 = 2 remainder 101 |
| 4 | 212 ÷ 101 = 2 remainder 10 |
| 5 | 101 ÷ 10 = 10 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 21 | 714 |
| 70 and 30 | 210 |
| 129 and 62 | 7998 |
| 71 and 90 | 6390 |
| 179 and 50 | 8950 |