Least Common Multiple (LCM) of 130 and 141
The least common multiple (LCM) of 130 and 141 is 18330.
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 141?
First, calculate the GCD of 130 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 141 = 0 remainder 130 |
| 2 | 141 ÷ 130 = 1 remainder 11 |
| 3 | 130 ÷ 11 = 11 remainder 9 |
| 4 | 11 ÷ 9 = 1 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 125 | 1500 |
| 30 and 129 | 1290 |
| 189 and 74 | 13986 |
| 172 and 108 | 4644 |
| 179 and 83 | 14857 |