Least Common Multiple (LCM) of 125 and 155
The least common multiple (LCM) of 125 and 155 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 125 and 155?
First, calculate the GCD of 125 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 155 = 0 remainder 125 |
| 2 | 155 ÷ 125 = 1 remainder 30 |
| 3 | 125 ÷ 30 = 4 remainder 5 |
| 4 | 30 ÷ 5 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 78 | 13650 |
| 125 and 110 | 2750 |
| 180 and 188 | 8460 |
| 111 and 104 | 11544 |
| 178 and 55 | 9790 |