Least Common Multiple (LCM) of 130 and 158
The least common multiple (LCM) of 130 and 158 is 10270.
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 158?
First, calculate the GCD of 130 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 158 = 0 remainder 130 |
| 2 | 158 ÷ 130 = 1 remainder 28 |
| 3 | 130 ÷ 28 = 4 remainder 18 |
| 4 | 28 ÷ 18 = 1 remainder 10 |
| 5 | 18 ÷ 10 = 1 remainder 8 |
| 6 | 10 ÷ 8 = 1 remainder 2 |
| 7 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 177 | 8142 |
| 194 and 57 | 11058 |
| 128 and 153 | 19584 |
| 115 and 113 | 12995 |
| 156 and 61 | 9516 |