Least Common Multiple (LCM) of 155 and 125
The least common multiple (LCM) of 155 and 125 is 3875.
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 155 and 125?
First, calculate the GCD of 155 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 125 = 1 remainder 30 |
| 2 | 125 ÷ 30 = 4 remainder 5 |
| 3 | 30 ÷ 5 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 123 | 5289 |
| 123 and 109 | 13407 |
| 186 and 149 | 27714 |
| 172 and 97 | 16684 |
| 194 and 45 | 8730 |