Least Common Multiple (LCM) of 130 and 31
The least common multiple (LCM) of 130 and 31 is 4030.
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 31?
First, calculate the GCD of 130 and 31 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 31 = 4 remainder 6 |
| 2 | 31 ÷ 6 = 5 remainder 1 |
| 3 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 20 | 740 |
| 109 and 122 | 13298 |
| 152 and 151 | 22952 |
| 62 and 38 | 1178 |
| 189 and 41 | 7749 |