Least Common Multiple (LCM) of 130 and 125
The least common multiple (LCM) of 130 and 125 is 3250.
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 130 and 125?
First, calculate the GCD of 130 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 125 = 1 remainder 5 |
| 2 | 125 ÷ 5 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 137 and 102 | 13974 |
| 93 and 159 | 4929 |
| 98 and 44 | 2156 |
| 190 and 81 | 15390 |
| 17 and 162 | 2754 |