Least Common Multiple (LCM) of 130 and 50
The least common multiple (LCM) of 130 and 50 is 650.
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 50?
First, calculate the GCD of 130 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 50 = 2 remainder 30 |
| 2 | 50 ÷ 30 = 1 remainder 20 |
| 3 | 30 ÷ 20 = 1 remainder 10 |
| 4 | 20 ÷ 10 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 55 and 190 | 2090 |
| 119 and 56 | 952 |
| 15 and 130 | 390 |
| 139 and 108 | 15012 |
| 160 and 146 | 11680 |