Least Common Multiple (LCM) of 141 and 130
The least common multiple (LCM) of 141 and 130 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 141 and 130?
First, calculate the GCD of 141 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 130 = 1 remainder 11 |
| 2 | 130 ÷ 11 = 11 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 18 and 82 | 738 |
| 61 and 14 | 854 |
| 110 and 148 | 8140 |
| 193 and 143 | 27599 |
| 185 and 77 | 14245 |