Least Common Multiple (LCM) of 25 and 37
The least common multiple (LCM) of 25 and 37 is 925.
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 25 and 37?
First, calculate the GCD of 25 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 25 ÷ 37 = 0 remainder 25 |
| 2 | 37 ÷ 25 = 1 remainder 12 |
| 3 | 25 ÷ 12 = 2 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 17 | 1173 |
| 180 and 105 | 1260 |
| 11 and 144 | 1584 |
| 16 and 104 | 208 |
| 172 and 135 | 23220 |