Least Common Multiple (LCM) of 137 and 25
The least common multiple (LCM) of 137 and 25 is 3425.
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 137 and 25?
First, calculate the GCD of 137 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 25 = 5 remainder 12 |
| 2 | 25 ÷ 12 = 2 remainder 1 |
| 3 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 137 | 24112 |
| 20 and 65 | 260 |
| 194 and 189 | 36666 |
| 135 and 108 | 540 |
| 154 and 114 | 8778 |