Least Common Multiple (LCM) of 130 and 147
The least common multiple (LCM) of 130 and 147 is 19110.
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 147?
First, calculate the GCD of 130 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 147 = 0 remainder 130 |
| 2 | 147 ÷ 130 = 1 remainder 17 |
| 3 | 130 ÷ 17 = 7 remainder 11 |
| 4 | 17 ÷ 11 = 1 remainder 6 |
| 5 | 11 ÷ 6 = 1 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 41 | 5740 |
| 168 and 149 | 25032 |
| 114 and 88 | 5016 |
| 55 and 135 | 1485 |
| 76 and 26 | 988 |