Least Common Multiple (LCM) of 130 and 164
The least common multiple (LCM) of 130 and 164 is 10660.
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 164?
First, calculate the GCD of 130 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 164 = 0 remainder 130 |
| 2 | 164 ÷ 130 = 1 remainder 34 |
| 3 | 130 ÷ 34 = 3 remainder 28 |
| 4 | 34 ÷ 28 = 1 remainder 6 |
| 5 | 28 ÷ 6 = 4 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 77 | 9548 |
| 27 and 91 | 2457 |
| 153 and 118 | 18054 |
| 134 and 151 | 20234 |
| 108 and 181 | 19548 |